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Which of the following is a solution to the inequality below? $\newline$ $11 \leq z$ $\newline$ Choices: $\newline$ (A) $z = 11$ $\newline$ (B) $z = 4$ $\newline$ (C) $z = 6$ $\newline$ (D) $z = 9$

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Solutions to inequalities

Full solution

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

\newline

11 \leq z

\newline

Choices:

\newline

(A)

z = 11

\newline

(B)

z = 4

\newline

(C)

z = 6

\newline

(D)

z = 9

Understand the inequality: Understand the inequality. $\newline$ The inequality $11 \leq z$ means that $z$ must be greater than or equal to $11$ .
Check each option: Check each option against the inequality. $\newline$ Start with option (A) $z = 11$ . $\newline$ $11 \leq z$ $\newline$ Replace $z$ with $11$ . $\newline$ $11 \leq 11$ $\newline$ This is true because $11$ is equal to $11$ .
Option (A) solution: Since option (A) is already a solution, we do not need to check the other options because the inequality requires $z$ to be greater than or equal to $11$ , and all other options are less than $11$ .

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