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32-7x <= 11
Which of the following best describes the solutions to the inequality shown?
Choose 1 answer:
(A)
x >= 3
(B)
x <= 3
(c)
x >= -(43)/(7)
(D)
x >= -3

$32-7 x \leq 11$ $\newline$ Which of the following best describes the solutions to the inequality shown? $\newline$ Choose $1$ answer: $\newline$ (A) $x \geq 3$ $\newline$ (B) $x \leq 3$ $\newline$ (C) $x \geq-\frac{43}{7}$ $\newline$ (D) $x \geq-3$

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Solve quadratic inequalities

Full solution

Q.

32-7 x \leq 11

\newline

Which of the following best describes the solutions to the inequality shown?

\newline

Choose

1

answer:

\newline

(A)

x \geq 3

\newline

(B)

x \leq 3

\newline

(C)

x \geq-\frac{43}{7}

\newline

(D)

x \geq-3

Subtract $32$ : Subtract $32$ from both sides of the inequality to isolate the term containing $x$ . $\newline$ Calculation: $32 - 7x - 32 \leq 11 - 32$ $\newline$ This simplifies to: $-7x \leq -21$
Divide by $-7$ : Divide both sides of the inequality by $-7$ to solve for $x$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ Calculation: $(-7x) / (-7) \geq (-21) / (-7)$ $\newline$ This simplifies to: $x \geq 3$
Match solution: Match the solution $x \geq 3$ with the given choices. $\newline$ The correct choice that matches our solution is (A) $x \geq 3$ .

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