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Which of the following are solutions to the inequality below? Select all that apply. $\newline$ $-5 \geq y$ $\newline$ Multi-select Choices: $\newline$ (A) $y = -11$ $\newline$ (B) $y = -4$ $\newline$ (C) $y = -9$ $\newline$ (D) $y = -12$

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Solutions to inequalities

Full solution

Q. Which of the following are solutions to the inequality below? Select all that apply.

\newline

-5 \geq y

\newline

Multi-select Choices:

\newline

(A)

y = -11

\newline

(B)

y = -4

\newline

(C)

y = -9

\newline

(D)

y = -12

Understand the inequality: Understand the inequality. $\newline$ The inequality $–5 \geq y$ means that $y$ must be less than or equal to $–5$ .
Test option (A): Test each option against the inequality. $\newline$ We will substitute each value of $y$ given in the options into the inequality to see if it makes the inequality true. $\newline$ Option (A): $y = -11$ $\newline$ Test the inequality $-5 \geq y$ with $y = -11$ . $\newline$ $-5 \geq -11$ is true because $-5$ is greater than $-11$ .
Test option (B): Test the next option. $\newline$ Option (B): $y = -4$ $\newline$ Test the inequality $-5 \geq y$ with $y = -4$ . $\newline$ $-5 \geq -4$ is false because $-5$ is not greater than $-4$ .
Test option (C): Test the next option. $\newline$ Option (C): $y = -9$ $\newline$ Test the inequality $-5 \geq y$ with $y = -9$ . $\newline$ $-5 \geq -9$ is true because $-5$ is greater than $-9$ .
Test option (D): Test the last option. $\newline$ Option (D): $y = -12$ $\newline$ Test the inequality $-5 \geq y$ with $y = -12$ . $\newline$ $-5 \geq -12$ is true because $-5$ is greater than $-12$ .

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