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Is (x, y) a solution to the system of linear inequalities?

x

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-6 x+14<-28 \quad

\quad 3 x+28 \leq 25

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1

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x \leq-1

x>7

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-1 \leq x<7

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x<7

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(D) There are no solutions

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(E) All values of

x

x

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11 x+4<15 \quad

\quad 12 x-7>-25

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1

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-\frac{3}{2}<x<1

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x>-\frac{3}{2}

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x<1

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(D) There are no solutions

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(E) All values of

x

x

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-8 x+3 \geq 27 \quad \text { AND } \quad-13 x+5 \geq 57

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1

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x \leq-4

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x \leq-3

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-4 \leq x \leq-3

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(D) There are no solutions

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(E) All values of

x

x

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-4 x+60<72 \quad \text { OR } \quad 14 x+11<-31

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1

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x<-3

x>-3

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x>-3

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x<-3

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(D) There are no solutions

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(E) All values of

x

x

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3 x-8 \leq 23 \quad

\quad-4 x+26 \geq 6

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1

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x \leq \frac{31}{3}

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x \leq 5

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5 \leq x \leq \frac{31}{3}

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(D) There are no solutions

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ㄷ) All values of

x

x

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5 x-19 \leq 1 \quad

\quad-4 x+3<-6

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1

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x \geq 4

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\frac{9}{4}<x \leq 4

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x>-\frac{9}{4}

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(D) There are no solutions

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(E) All values of

x

x

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-8 x+14 \geq 60 \quad \text { OR } \quad-4 x+50<58

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1

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x \leq-\frac{23}{4}

x>-2

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x \leq-\frac{23}{4}

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x>-2

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(D) There are no solutions

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(E) All values of

x

x

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-7 x+1 \geq 22 \quad \text { OR } \quad-10 x+41 \geq 81

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1

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x \leq-4

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x \leq-3

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-4 \leq x \leq-3

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(D) There are no solutions

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(E) All values of

x

x

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3 x-8 \leq 23 \quad

\quad-4 x+26 \geq 6

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1

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x \leq \frac{31}{3}

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x \leq 5

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5 \leq x \leq \frac{31}{3}

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(D) There are no solutions

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(E) All values of

x

x

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-6 x+14<-28 \quad

\quad 9 x+15 \leq-12

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1

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x \leq-3

x>7

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-3 \leq x<7

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x<7

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(D) There are no solutions

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(E) All values of

x

x

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2 x+3 \geq 7 \quad \text { OR } \quad 2 x+9>11

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1

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x>1

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x \geq 2

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x \leq 2

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(D) There are no solutions

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(E) All values of

x

x

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-8 x+44 \geq 60 \quad \text { AND } \quad-4 x+50<58

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1

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x>-2

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x \leq-2

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x=-2

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(D) There are no solutions

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(E) All values of

x

x

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-25 x+175>225 \quad \text { AND } \quad 5 x-83 \geq-73

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1

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x<-2

x \geq 2

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x<-2

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x \geq 2

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(D) There are no solutions

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(E) All values of

x

y^{2}+25=x

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10 y=x

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(x, y)

is a solution to the system of equations shown, which of the following is an

x

-coordinate of the solution?

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1

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50

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-50

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-5

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5

\begin{array}{l} y<3 x+4 \\ y<5 x+2 \end{array}

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Which of the following ordered pairs

(x, y)

satisfies the system of inequalities?

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1

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(-1,0)

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(1,7)

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(2,11)

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(3,-4)

\begin{array}{l} y \geq \frac{3}{10} x+5 \\ y>5 x-7 \end{array}

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Which of the following ordered pairs

(x, y)

satisfies the system of inequalities?

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1

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(0,5)

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(1,1)

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(3,8)

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(10,6)

\begin{array}{l} y \geq-1 \\ y \leq 4 x+1 \end{array}

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Which of the following ordered pairs

(x, y)

satisfies the system of inequalities?

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1

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(-4,2)

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(0,4)

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(2,-2)

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(2,4)

\begin{aligned} -6.4 x & =4 y+2.1 \\ k y+3.2 x & =5.8 \end{aligned}

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For what value of

k

does the system of linear equations in the variables

x

y

have no solutions?

a x+3 y \geq 7

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2 y \leq a x+2

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In the system of inequalities,

a

is a constant. If

(1,2)

is a solution to the system, which of the following is a possible value of

a

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1

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-2

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-1

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1

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2

\begin{aligned} 3 y & \geq 18 x+6 \\ 20 x+y & \geq 210 \end{aligned}

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(8, b)

is a solution to the system of inequalities, what is the minimum value of

b

(2,\, 10)

a solution to this system of inequalities?

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y \geq x + 10

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y \leq 9x + 5

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