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

Understand the inequality: Understand the inequality. The inequality –10 > z means we are looking for a value of z that is less than -10.Evaluate choices: Evaluate each choice to see if it satisfies the inequality. Start with choice (A) z = –11. Check if –10 > –11 is true. Since –11 is less than –10, the inequality holds true.Check choice (A): Since choice (A) satisfies the inequality, we do not need to check the other choices because the inequality is strict (not ＂greater than or equal to＂) and only one of the given choices can be correct.

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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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Math Problems

Grade 8

Solutions to inequalities

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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 the inequality: Understand the inequality. $\newline$ The inequality -10 > z means we are looking for a value of $z$ that is less than $-10$ .
Evaluate choices: Evaluate each choice to see if it satisfies the inequality. $\newline$ Start with choice (A) $z = -11$ . $\newline$ Check if -10 > -11 is true. $\newline$ Since $-11$ is less than $-10$ , the inequality holds true.
Check choice (A): Since choice (A) satisfies the inequality, we do not need to check the other choices because the inequality is strict (not ＂greater than or equal to＂) and only one of the given choices can be correct.