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Which of the following is a solution to the inequality below? $\newline$ $11 < f$ $\newline$ Choices: $\newline$ (A) $f = 8$ $\newline$ (B) $f = 11$ $\newline$ (C) $f = 12$ $\newline$ (D) $f = 7$

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Solutions to inequalities

Full solution

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

\newline

11 < f

\newline

Choices:

\newline

(A)

f = 8

\newline

(B)

f = 11

\newline

(C)

f = 12

\newline

(D)

f = 7

Understand the inequality: Understand the inequality. $\newline$ The inequality $11 < f$ means that $f$ must be greater than $11$ .
Evaluate choices: Evaluate each choice against the inequality. $\newline$ Start with choice (A) $f = 8$ . $\newline$ Check if $8$ is greater than $11$ . $\newline$ $11 < 8$ is not true.
Check choice (A): Move to choice (B) $f = 11$ . Check if $11$ is greater than $11$ . $11 < 11$ is not true because the inequality requires $f$ to be greater than $11$ , not equal to it.
Check choice (B): Evaluate choice (C) $f = 12$ . $\newline$ Check if $12$ is greater than $11$ . $\newline$ $11 < 12$ is true.
Evaluate choice (C): There is no need to check choice (D) $f = 7$ because we have already found a correct answer in choice (C), and there can only be one correct answer in this context.

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