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Which of the following is a solution to the inequality below? $\newline$ $x>5$ $\newline$ Choices: $\newline$ (A) $x=1$ $\newline$ (B) $x=8$ $\newline$ (C) $x=10$ $\newline$ (D) $x=11$

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Identify solutions to inequalities

Full solution

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

\newline

x>5

\newline

Choices:

\newline

(A)

x=1

\newline

(B)

x=8

\newline

(C)

x=10

\newline

(D)

x=11

Understand Inequality $x > 5$ : Understand the inequality $x > 5$ . What does this inequality represent? The inequality $x > 5$ means that $x$ must be greater than $5$ .
Compare Choices to Inequality $x > 5$ : Compare each choice to the inequality $x > 5$ . $\newline$ (A) $x = 1$ is not greater than $5$ . $\newline$ (B) $x = 8$ is greater than $5$ . $\newline$ (C) $x = 10$ is greater than $5$ . $\newline$ (D) $x = 11$ is greater than $5$ .
Determine Solutions to Inequality: Determine which of the choices are solutions to the inequality. $\newline$ Since $x$ must be greater than $5$ , we can eliminate choice (A) $x = 1$ because it does not satisfy the inequality. $\newline$ Choices (B) $x = 8$ , (C) $x = 10$ , and (D) $x = 11$ are all greater than $5$ and therefore are solutions to the inequality.

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