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Which of the following is a solution to the inequality below? $\newline$ $7 < n$ $\newline$ Choices: $\newline$ (A) $n = 7$ $\newline$ (B) $n = 2$ $\newline$ (C) $n = 8$ $\newline$ (D) $n = 5$

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Identify solutions to inequalities

Full solution

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

\newline

7 < n

\newline

Choices:

\newline

(A)

n = 7

\newline

(B)

n = 2

\newline

(C)

n = 8

\newline

(D)

n = 5

Understand the inequality: Understand the inequality $7 < n$ . This inequality means that $n$ must be greater than $7$ .
Evaluate the choices: Evaluate the choices to see which one is greater than $7$ . $\newline$ (A) $n = 7$ is not greater than $7$ , it is equal to $7$ .
Check choice (A): Check the next choice. $\newline$ (B) $n = 2$ is not greater than $7$ , it is less than $7$ .
Check choice (B): Check the next choice. $\newline$ (C) $n = 8$ is greater than $7$ .
Check choice (C): Since $n = 8$ is greater than $7$ , we do not need to check the last choice (D) $n = 5$ , as it is less than $7$ . Therefore, the correct answer is (C) $n = 8$ .

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