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Which best represents the solution set for the inequality -3x+9 >= -21 ?
(A) x >= 10
(B) x <= 10
(C) x >= -4
(D) x <= -4

Which best represents the solution set for the inequality $-3 x+9 \geq-21$ ? $\newline$ (A) $x \geq 10$ $\newline$ (B) $x \leq 10$ $\newline$ (C) $x \geq-4$ $\newline$ (D) $x \leq-4$

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Write an equation word problem

Full solution

Q. Which best represents the solution set for the inequality

-3 x+9 \geq-21

?

\newline

(A)

x \geq 10

\newline

(B)

x \leq 10

\newline

(C)

x \geq-4

\newline

(D)

x \leq-4

Isolate variable x: First, we need to isolate the variable x on one side of the inequality. We can start by subtracting $9$ from both sides of the inequality to get rid of the constant term on the left side. $\newline$ $-3x + 9 - 9 \geq -21 - 9$ $\newline$ This simplifies to: $\newline$ $-3x \geq -30$
Subtract $9$ : Next, we divide both sides of the inequality by $-3$ to solve for $x$ . Remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the direction of the inequality sign. $\newline$ $-3x / -3 \leq -30 / -3$ $\newline$ This simplifies to: $\newline$ $x \leq 10$

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