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Which of the following is a solution to the inequality below? $\newline$ $f \geq 12$ $\newline$ Choices: $\newline$ (A) $f = 6$ $\newline$ (B) $f = 12$ $\newline$ (C) $f = 8$ $\newline$ (D) $f = 3$

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Solutions to inequalities

Full solution

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

\newline

f \geq 12

\newline

Choices:

\newline

(A)

f = 6

\newline

(B)

f = 12

\newline

(C)

f = 8

\newline

(D)

f = 3

Understand the inequality: Understand the inequality. $\newline$ The inequality $f \geq 12$ means that $f$ must be greater than or equal to $12$ .
Evaluate choices: Evaluate each choice against the inequality. $\newline$ Start with choice (A) $f = 6$ . $\newline$ Check if $6 \geq 12$ . $\newline$ This is not true because $6$ is less than $12$ .
Check choice (A): Move to choice (B) $f = 12$ . $\newline$ Check if $12 \geq 12$ . $\newline$ This is true because $12$ is equal to $12$ .
Check choice (B): Since we have found a correct answer in choice (B), we do not need to check the remaining choices. However, for completeness, let's quickly evaluate them. $\newline$ Choice (C) $f = 8$ . $\newline$ Check if $8 \geq 12$ . $\newline$ This is not true because $8$ is less than $12$ .
Check choice (C): Evaluate choice (D) $f = 3$ . Check if $3 \geq 12$ . This is not true because $3$ is less than $12$ .

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