Which of the following is a solution to the inequality below? –5 ≥ u Choices: (A)u = –3 (B)u = –8 (C)u = –2 (D)u = –4

Understand the inequality: Understand the inequality. The inequality –5 ≥ u means that u must be less than or equal to –5.Test choice (A): Test choice (A) u = –3. Plug in u = –3 into the inequality –5 ≥ u. –5 ≥ –3 This is not true because –3 is greater than –5.Test choice (B): Test choice (B) u = –8. Plug in u = –8 into the inequality –5 ≥ u. –5 ≥ –8 This is true because –8 is less than –5.Test choice (C): Since we have found a true statement with choice (B), we do not need to test the other choices. However, for completeness, let's quickly check them. Test choice (C) u = –2. Plug in u = –2 into the inequality –5 ≥ u. –5 ≥ –2 This is not true because –2 is greater than –5.Test choice (D): Test choice (D) u = –4. Plug in u = –4 into the inequality –5 ≥ u. –5 ≥ –4 This is not true because –4 is greater than –5.

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Which of the following is a solution to the inequality below? $\newline$ $-5 \geq u$ $\newline$ Choices: $\newline$ (A) $u = -3$ $\newline$ (B) $u = -8$ $\newline$ (C) $u = -2$ $\newline$ (D) $u = -4$

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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

-5 \geq u

\newline

Choices:

\newline

(A)

u = -3

\newline

(B)

u = -8

\newline

(C)

u = -2

\newline

(D)

u = -4

Understand the inequality: Understand the inequality. $\newline$ The inequality $-5 \geq u$ means that $u$ must be less than or equal to $-5$ .
Test choice (A): Test choice (A) $u = -3$ . Plug in $u = -3$ into the inequality $-5 \geq u$ . $-5 \geq -3$ This is not true because $-3$ is greater than $-5$ .
Test choice (B): Test choice (B) $u = -8$ . Plug in $u = -8$ into the inequality $-5 \geq u$ . $-5 \geq -8$ This is true because $-8$ is less than $-5$ .
Test choice (C): Since we have found a true statement with choice (B), we do not need to test the other choices. However, for completeness, let's quickly check them. $\newline$ Test choice (C) $u = -2$ . $\newline$ Plug in $u = -2$ into the inequality $-5 \geq u$ . $\newline$ $-5 \geq -2$ $\newline$ This is not true because $-2$ is greater than $-5$ .
Test choice (D): Test choice (D) $u = -4$ . $\newline$ Plug in $u = -4$ into the inequality $-5 \geq u$ . $\newline$ $-5 \geq -4$ $\newline$ This is not true because $-4$ is greater than $-5$ .