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

Understand the inequality: Understand the inequality. 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. Start with choice (A) f = –5. Check if f = –5 satisfies the inequality f < –7. –5 < –7 is not true because –5 is greater than –7. So, f = –5 is not a solution to the inequality.Evaluate choice (A): Evaluate choice (B) f = –8. Check if f = –8 satisfies the inequality f < –7. –8 < –7 is true because –8 is less than –7. So, f = –8 is a solution to the inequality.Evaluate choice (B): Evaluate choice (C) f = –10. Check if f = –10 satisfies the inequality f < –7. –10 < –7 is true because –10 is less than –7. So, f = –10 is a solution to the inequality.Evaluate choice (C): Evaluate choice (D) f = –3. Check if f = –3 satisfies the inequality f < –7. –3 < –7 is not true because –3 is greater than –7. So, f = –3 is not a solution to the inequality.

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Math Problems

Grade 8

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.