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{:[y >= (3)/(10)x+5],[y > 5x-7]:}
Which of the following ordered pairs
(x,y) satisfies the system of inequalities?
Choose 1 answer:
(A)
(0,5)
(B)
(1,1)
(c)
(3,8)
(D)
(10,6)

$\begin{array}{l} y \geq \frac{3}{10} x+5 \\ y>5 x-7 \end{array}$ $\newline$ Which of the following ordered pairs $(x, y)$ satisfies the system of inequalities? $\newline$ Choose $1$ answer: $\newline$ (A) $(0,5)$ $\newline$ (B) $(1,1)$ $\newline$ (C) $(3,8)$ $\newline$ (D) $(10,6)$

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

Full solution

Q.

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

\newline

Which of the following ordered pairs

(x, y)

satisfies the system of inequalities?

\newline

Choose

1

answer:

\newline

(A)

(0,5)

\newline

(B)

(1,1)

\newline

(C)

(3,8)

\newline

(D)

(10,6)

Test First Inequality: Test the ordered pair $(0,5)$ in the first inequality $y \geq \frac{3}{10}x + 5$ . Substitute $x = 0$ and $y = 5$ into the inequality. $5 \geq \frac{3}{10}\cdot0 + 5$ $5 \geq 5$ The ordered pair $(0,5)$ satisfies the first inequality.
Test Second Inequality: Test the ordered pair $(0,5)$ in the second inequality y > 5x - 7. $\newline$ Substitute $x = 0$ and $y = 5$ into the inequality. $\newline$ 5 > 5\cdot0 - 7 $\newline$ 5 > -7 $\newline$ The ordered pair $(0,5)$ also satisfies the second inequality.
Solution Found: Since the ordered pair $(0,5)$ satisfies both inequalities, it is a solution to the system of inequalities. We can stop here as we have found an ordered pair that satisfies both inequalities.

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