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Which of the following are solutions to the inequality below? Select all that apply. $\newline$ $f < -7$ $\newline$ Multi-select Choices: $\newline$ (A) $f = -5$ $\newline$ (B) $f = -8$ $\newline$ (C) $f = -10$ $\newline$ (D) $f = -3$

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Solutions to inequalities

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

\newline

f < -7

\newline

Multi-select Choices:

\newline

(A)

f = -5

\newline

(B)

f = -8

\newline

(C)

f = -10

\newline

(D)

f = -3

Understand the inequality: Understand the inequality. $\newline$ The inequality $f < -7$ means that we are looking for values of $f$ that are less than negative seven.
Evaluate choices: Evaluate each choice against the inequality. $\newline$ Start with choice (A) $f = -5$ . $\newline$ Check if $f = -5$ satisfies the inequality $f < -7$ . $\newline$ $-5 < -7$ is not true because $-5$ is greater than $-7$ . $\newline$ So, $f = -5$ is not a solution to the inequality.
Evaluate choice (A): Evaluate choice (B) $f = -8$ . $\newline$ Check if $f = -8$ satisfies the inequality $f < -7$ . $\newline$ $-8 < -7$ is true because $-8$ is less than $-7$ . $\newline$ So, $f = -8$ is a solution to the inequality.
Evaluate choice (B): Evaluate choice (C) $f = -10$ . $\newline$ Check if $f = -10$ satisfies the inequality $f < -7$ . $\newline$ $-10 < -7$ is true because $-10$ is less than $-7$ . $\newline$ So, $f = -10$ is a solution to the inequality.
Evaluate choice (C): Evaluate choice (D) $f = -3$ . $\newline$ Check if $f = -3$ satisfies the inequality $f < -7$ . $\newline$ $-3 < -7$ is not true because $-3$ is greater than $-7$ . $\newline$ So, $f = -3$ is not a solution to the inequality.

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