Which of the following is a solution to the inequality below? –12 ≥ f Choices: (A)f = –12 (B)f = –1 (C)f = –9 (D)f = –5

Understand the inequality: Understand the inequality. The inequality –12 ≥ f means that f must be a number that is less than or equal to –12.Evaluate choices: Evaluate each choice to see if it satisfies the inequality. Start with choice (A) f = –12. Check if –12 ≥ –12 is true. Since –12 is equal to –12, the inequality holds.Check choice (A): Since we have found that choice (A) satisfies the inequality, we can check the other options to ensure there is no other solution that also satisfies the inequality. Check choice (B) f = –1. Check if –12 ≥ –1 is true. Since –1 is greater than –12, this does not satisfy the inequality.Check choice (B): Check choice (C) f = –9. Check if –12 ≥ –9 is true. Since –9 is greater than –12, this does not satisfy the inequality.Check choice (C): Check choice (D) f = –5. Check if –12 ≥ –5 is true. Since –5 is greater than –12, this does not satisfy the inequality.Check choice (D): Conclude which choice is a solution to the inequality. Since only choice (A) f = –12 satisfies the inequality –12 ≥ f, it is the correct solution.

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Which of the following is a solution to the inequality below? $\newline$ $-12 \geq f$ $\newline$ Choices: $\newline$ (A) $f = -12$ $\newline$ (B) $f = -1$ $\newline$ (C) $f = -9$ $\newline$ (D) $f = -5$

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Math Problems

Grade 8

Solutions to inequalities

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

\newline

-12 \geq f

\newline

Choices:

\newline

(A)

f = -12

\newline

(B)

f = -1

\newline

(C)

f = -9

\newline

(D)

f = -5

Understand the inequality: Understand the inequality. $\newline$ The inequality $-12 \geq f$ means that $f$ must be a number that is less than or equal to $-12$ .
Evaluate choices: Evaluate each choice to see if it satisfies the inequality. $\newline$ Start with choice (A) $f = -12$ . $\newline$ Check if $-12 \geq -12$ is true. $\newline$ Since $-12$ is equal to $-12$ , the inequality holds.
Check choice (A): Since we have found that choice (A) satisfies the inequality, we can check the other options to ensure there is no other solution that also satisfies the inequality. $\newline$ Check choice (B) $f = -1$ . $\newline$ Check if $-12 \geq -1$ is true. $\newline$ Since $-1$ is greater than $-12$ , this does not satisfy the inequality.
Check choice (B): Check choice (C) $f = -9$ . $\newline$ Check if $-12 \geq -9$ is true. $\newline$ Since $-9$ is greater than $-12$ , this does not satisfy the inequality.
Check choice (C): Check choice (D) $f = -5$ . Check if $-12 \geq -5$ is true. Since $-5$ is greater than $-12$ , this does not satisfy the inequality.
Check choice (D): Conclude which choice is a solution to the inequality. $\newline$ Since only choice (A) $f = -12$ satisfies the inequality $-12 \geq f$ , it is the correct solution.