Is b = –3 a solution to the inequality below? –12 ≤ b Choices: (A)yes (B)no

Given Value Check: We are given b = -3. We need to check if this value satisfies the inequality –12 ≤ b. Substitute b with -3 in the inequality. -12 ≤ -3Substitution and Evaluation: Determine if the inequality holds true after the substitution. Since -12 is less than or equal to -3, the inequality -12 ≤ -3 is true. Therefore, b = -3 is a solution to the inequality –12 ≤ b.Final Solution Determination: Choose the correct option based on the result from Step 2. Since b = -3 satisfies the inequality –12 ≤ b, the answer is (A) yes.

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Is $b = -3$ a solution to the inequality below? $\newline$ $-12 \leq b$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 8

Solutions to inequalities

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Q. Is

b = -3

a solution to the inequality below?

\newline

-12 \leq b

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Given Value Check: We are given $b = -3$ . $\newline$ We need to check if this value satisfies the inequality $–12 \leq b$ . $\newline$ Substitute $b$ with $-3$ in the inequality. $\newline$ $-12 \leq -3$
Substitution and Evaluation: Determine if the inequality holds true after the substitution. $\newline$ Since $-12$ is less than or equal to $-3$ , the inequality $-12 \leq -3$ is true. $\newline$ Therefore, $b = -3$ is a solution to the inequality $-12 \leq b$ .
Final Solution Determination: Choose the correct option based on the result from Step $2$ . $\newline$ Since $b = -3$ satisfies the inequality $–12 \leq b$ , the answer is (A) yes.