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Which of the following is a solution to the inequality below? $\newline$ $-4 \leq f$ $\newline$ Choices: $\newline$ (A) $f = -11$ $\newline$ (B) $f = -9$ $\newline$ (C) $f = -2$ $\newline$ (D) $f = -6$

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Solutions to inequalities

Full solution

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

\newline

-4 \leq f

\newline

Choices:

\newline

(A)

f = -11

\newline

(B)

f = -9

\newline

(C)

f = -2

\newline

(D)

f = -6

Understand the inequality: Understand the inequality. $\newline$ The inequality $-4 \leq f$ means that $f$ can be any number greater than or equal to $-4$ .
Evaluate choices: Evaluate each choice to see if it satisfies the inequality. $\newline$ Start with choice (A) $f = -11$ . $\newline$ Check if $-11 \geq -4$ . $\newline$ $-11 \geq -4$ is not true, so (A) is not a solution.
Check choice (A): Move to choice (B) $f = -9$ . $\newline$ Check if $-9$ is greater than or equal to $-4$ . $\newline$ $-9 \geq -4$ is not true, so (B) is not a solution.
Check choice (B): Evaluate choice (C) $f = -2$ . $\newline$ Check if $-2$ is greater than or equal to $-4$ . $\newline$ $-2 \geq -4$ is true, so (C) is a solution.
Evaluate choice (C): There is no need to check the remaining choices because we have found a solution that satisfies the inequality.

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