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Which of the following is a solution to the inequality below? $\newline$ $10 > z$ $\newline$ Choices: $\newline$ (A) $z = 11$ $\newline$ (B) $z = 10$ $\newline$ (C) $z = 3$ $\newline$ (D) $z = 7$

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Identify solutions to inequalities

Full solution

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

\newline

10 > z

\newline

Choices:

\newline

(A)

z = 11

\newline

(B)

z = 10

\newline

(C)

z = 3

\newline

(D)

z = 7

Understand Inequality: Understand the inequality $10 > z$ . This inequality means that $z$ must be a number less than $10$ .
Evaluate Choices: Evaluate the choices given to find which one is less than $10$ . $\newline$ (A) $z = 11$ is not less than $10$ .
Check Choices: Check the next choice. $\newline$ (B) $z = 10$ is not less than $10$ , it is equal to $10$ .
Find Correct Answer: Check the third choice. $\newline$ (C) $z = 3$ is less than $10$ .
Choose Solution: Even though we have found a correct answer, we should check all options for completeness. $\newline$ $(D) z = 7$ is also less than $10$ .
Choose Solution: Even though we have found a correct answer, we should check all options for completeness. $\newline$ (D) $z = 7$ is also less than $10$ .Determine which of the correct answers is the solution to the inequality. $\newline$ Since both (C) $z = 3$ and (D) $z = 7$ are less than $10$ , they both satisfy the inequality $10 > z$ . However, we need to choose the one that is provided as a solution in the question prompt.

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