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Is $a = -5$ a solution to the inequality below? $\newline$ $-2 \geq a$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Solutions to inequalities

Full solution

Q. Is

a = -5

a solution to the inequality below?

\newline

-2 \geq a

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute value into inequality: We are given $a = -5$ . Let's substitute this value into the inequality $–2 \geq a$ . $\newline$ $–2 \geq a$ $\newline$ Replace $a$ with $-5$ . $\newline$ $–2 \geq -5$
Determine if inequality holds true: Now we need to determine if the inequality holds true with $a = -5$ . $\newline$ Since $–2$ is greater than $–5$ , the inequality $–2 \geq -5$ is true. $\newline$ Therefore, $a = -5$ is a solution to the inequality $–2 \geq a$ .
Verify solution: Choose the correct option that states $a = -5$ is a solution to the inequality $–2 \geq a$ . Since the inequality is true for $a = -5$ , the answer is (A) yes.

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