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

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

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Math Problems

Grade 8

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 $-12$ .