Which of the following is a solution to the inequality below? –4 < z Choices: (A)z = –4 (B)z = –6 (C)z = –12 (D)z = –2

Understand the inequality: Understand the inequality. The inequality –4 < z means that z must be greater than –4.Evaluate choices: Evaluate each choice to see if it satisfies the inequality. Start with choice (A) z = –4. Check if –4 < –4 is true. This is not true because –4 is not greater than –4.Check choice (A): Move to choice (B) z = –6. Check if –4 < –6 is true. This is not true because –6 is less than –4, not greater.Check choice (B): Evaluate choice (C) z = –12. Check if –4 < –12 is true. This is not true because –12 is less than –4, not greater.Check choice (C): Finally, evaluate choice (D) z = –2. Check if –4 < –2 is true. This is true because –2 is greater than –4.

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Which of the following is a solution to the inequality below? $\newline$ -4 < z $\newline$ Choices: $\newline$ (A) $z = -4$ $\newline$ (B) $z = -6$ $\newline$ (C) $z = -12$ $\newline$ (D) $z = -2$

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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

-4 < z

\newline

Choices:

\newline

(A)

z = -4

\newline

(B)

z = -6

\newline

(C)

z = -12

\newline

(D)

z = -2

Understand the inequality: Understand the inequality. $\newline$ The inequality -4 < z means that $z$ must be greater than $-4$ .
Evaluate choices: Evaluate each choice to see if it satisfies the inequality. $\newline$ Start with choice (A) $z = -4$ . $\newline$ Check if -4 < -4 is true. $\newline$ This is not true because $-4$ is not greater than $-4$ .
Check choice (A): Move to choice (B) $z = -6$ . $\newline$ Check if -4 < -6 is true. $\newline$ This is not true because $-6$ is less than $-4$ , not greater.
Check choice (B): Evaluate choice (C) $z = -12$ . $\newline$ Check if -4 < -12 is true. $\newline$ This is not true because $-12$ is less than $-4$ , not greater.
Check choice (C): Finally, evaluate choice (D) $z = -2$ . $\newline$ Check if -4 < -2 is true. $\newline$ This is true because $-2$ is greater than $-4$ .