Which of the following numbers is NOT a solution of the inequality 3x −5≥4 −3 x ? A) −1 B) −2 C) −3 D) −5

Simplify inequality: Simplify the inequality by adding 3x to both sides: 3x - 5 + 3x ≥ 4 - 3x + 3x 6x - 5 ≥ 4Add to isolate x: Add 5 to both sides to isolate the term with x: 6x - 5 + 5 ≥ 4 + 5 6x ≥ 9Divide to solve x: Divide both sides by 6 to solve for x: 6x / 6 ≥ 9 / 6 x ≥ 1.5Check solutions: Check each option to see if it satisfies x ≥ 1.5: A) x = -1: -1 ≥ 1.5 (False) B) x = -2: -2 ≥ 1.5 (False) C) x = -3: -3 ≥ 1.5 (False) D) x = -5: -5 ≥ 1.5 (False)

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Which of the following numbers is NOT a solution $\newline$ of the inequality $3x - 5 \geq 4 - 3x$ ? $\newline$ A) $-1$ $\newline$ B) $-2$ $\newline$ C) $-3$ $\newline$ D) $-5$

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Math Problems

Grade 8

Solutions to inequalities

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Q. Which of the following numbers is NOT a solution

\newline

of the inequality

3x - 5 \geq 4 - 3x

\newline

-1

\newline

-2

\newline

-3

\newline

-5

Simplify inequality: Simplify the inequality by adding $3x$ to both sides: $\newline$ $3x - 5 + 3x \geq 4 - 3x + 3x$ $\newline$ $6x - 5 \geq 4$
Add to isolate $x$ : Add $5$ to both sides to isolate the term with $x$ : $6x - 5 + 5 \geq 4 + 5$ $6x \geq 9$
Divide to solve $x$ : Divide both sides by $6$ to solve for $x$ : $\frac{6x}{6} \geq \frac{9}{6}$ $x \geq 1.5$
Check solutions: Check each option to see if it satisfies $x \geq 1.5$ : $\newline$ A) $x = -1$ : $-1 \geq 1.5$ (False) $\newline$ B) $x = -2$ : $-2 \geq 1.5$ (False) $\newline$ C) $x = -3$ : $-3 \geq 1.5$ (False) $\newline$ D) $x = -5$ : $-5 \geq 1.5$ (False)