Which of the following is a solution to the inequality below? –4 ≤ y Choices: (A)y = –4 (B)y = –9 (C)y = –12 (D)y = –11

Understand the inequality: Understand the inequality. The inequality –4 ≤ y means that y can be any number greater than or equal to –4.Evaluate choices: Evaluate each choice against the inequality. Start with choice (A) y = –4. Check if –4 ≤ y is true when y = –4. –4 ≤ –4 is true because –4 is equal to –4.Check choice (A): Since choice (A) is true, it is a solution to the inequality. However, we need to check all other options to ensure there are no other solutions.Solution for choice (A): Evaluate choice (B) y = –9. Check if –4 ≤ y is true when y = –9. –4 ≤ –9 is false because –9 is less than –4.Check other options: Evaluate choice (C) y = –12. Check if –4 ≤ y is true when y = –12. –4 ≤ –12 is false because –12 is less than –4.Check choice (B): Evaluate choice (D) y = –11. Check if –4 ≤ y is true when y = –11. –4 ≤ –11 is false because –11 is less than –4.

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Math Problems

Grade 8

Solutions to inequalities

Full solution

Q. Which of the following is a solution to the inequality below?

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-4 \leq y

\newline

Choices:

\newline

(A)

y = -4

\newline

(B)

y = -9

\newline

(C)

y = -12

\newline

(D)

y = -11

Understand the inequality: Understand the inequality. $\newline$ The inequality $-4 \leq y$ means that $y$ can be any number greater than or equal to $-4$ .
Evaluate choices: Evaluate each choice against the inequality. $\newline$ Start with choice (A) $y = -4$ . $\newline$ Check if $-4 \leq y$ is true when $y = -4$ . $\newline$ $-4 \leq -4$ is true because $-4$ is equal to $-4$ .
Check choice (A): Since choice (A) is true, it is a solution to the inequality. However, we need to check all other options to ensure there are no other solutions.
Solution for choice (A): Evaluate choice (B) $y = -9$ . $\newline$ Check if $-4 \leq y$ is true when $y = -9$ . $\newline$ $-4 \leq -9$ is false because $-9$ is less than $-4$ .
Check other options: Evaluate choice (C) $y = -12$ . $\newline$ Check if $-4 \leq y$ is true when $y = -12$ . $\newline$ $-4 \leq -12$ is false because $-12$ is less than $-4$ .
Check choice (B): Evaluate choice (D) $y = -11$ . $\newline$ Check if $-4 \leq y$ is true when $y = -11$ . $\newline$ $-4 \leq -11$ is false because $-11$ is less than $-4$ .