Solve for x. 3x-91 > -87quad" AND "quad17 x-16 > 18 Choose 1 answer: (A) x > 2 (B) x > (4)/(3) (c) (4)/(3) < x < 2 (D) There are no solutions (E) All values of x are solutions

Solve First Inequality: Solve the first inequality 3x - 91 > -87. Add 91 to both sides to isolate the term with x. 3x - 91 + 91 > -87 + 91 3x > 4 Divide both sides by 3. x > 4/3Solve Second Inequality: Solve the second inequality 17x - 16 > 18. Add 16 to both sides to isolate the term with x. 17x - 16 + 16 > 18 + 16 17x > 34 Divide both sides by 17. x > 2Combine Results: Combine the results of the two inequalities. From Step 1, x > 4/3 and from Step 2, x > 2. Since 2 is greater than 4/3, the solution is x > 2.

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Solve for
x.

3x-91 > -87quad" AND "quad17 x-16 > 18
Choose 1 answer:
(A)
x > 2
(B)
x > (4)/(3)
(c)
(4)/(3) < x < 2
(D) There are no solutions
(E) All values of
x are solutions

Solve for $x$ . $\newline$ 3 x-91>-87 \quad \text { AND } \quad 17 x-16>18 $\newline$ Choose $1$ answer: $\newline$ (A) x>2 $\newline$ (B) x>\frac{4}{3} $\newline$ (c) \( \frac{4}{3}

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Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

x

\newline

3 x-91>-87 \quad \text { AND } \quad 17 x-16>18

\newline

Choose

1

answer:

\newline

(A)

x>2

\newline

(B)

x>\frac{4}{3}

\newline

(c)

\frac{4}{3}<x<2

\newline

(D) There are no solutions

\newline

(E) All values of

x

are solutions

Solve First Inequality: Solve the first inequality 3x - 91 > -87. Add $91$ to both sides to isolate the term with $x$ . 3x - 91 + 91 > -87 + 91 3x > 4 Divide both sides by $3$ . x > \frac{4}{3}
Solve Second Inequality: Solve the second inequality 17x - 16 > 18. Add $16$ to both sides to isolate the term with $x$ . 17x - 16 + 16 > 18 + 16 17x > 34 Divide both sides by $17$ . x > 2
Combine Results: Combine the results of the two inequalities. $\newline$ From Step $1$ , x > \frac{4}{3} and from Step $2$ , x > 2. $\newline$ Since $2$ is greater than $\frac{4}{3}$ , the solution is x > 2.