Solve for u. 16 ≥ u + 5 ≥ 8 Write your answer as a compound inequality with integers. Choices: (A)u ≥ 11 or u ≤ 3 (B)11 ≥ u ≥ 3 (C)11 > u ≥ 3 (D)u > 11 or u ≤ 3

Analyze Compound Inequality: Analyze the given compound inequality. The inequality 16 ≥ u + 5 ≥ 8 involves two inequalities combined into one statement. To solve for u, we need to isolate u in both parts of the inequality.Subtract to Isolate u: Subtract 5 from all parts of the inequality to isolate u. 16 ≥ u + 5 ≥ 8 16 - 5 ≥ u + 5 - 5 ≥ 8 - 5 11 ≥ u ≥ 3Write Final Compound Inequality: Write the final answer as a compound inequality with integers. The final answer is 11 ≥ u ≥ 3, which means u is less than or equal to 11 and greater than or equal to 3.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

u

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16 \geq u + 5 \geq 8

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Write your answer as a compound inequality with integers.

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Choices:

\newline

(A)

u \geq 11

u \leq 3

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(B)

11 \geq u \geq 3

\newline

(C)

11 > u \geq 3

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(D)

u > 11

u \leq 3

Analyze Compound Inequality: Analyze the given compound inequality. $\newline$ The inequality $16 \geq u + 5 \geq 8$ involves two inequalities combined into one statement. To solve for $u$ , we need to isolate $u$ in both parts of the inequality.
Subtract to Isolate $u$ : Subtract $5$ from all parts of the inequality to isolate $u$ . $\newline$ $16 \geq u + 5 \geq 8$ $\newline$ $16 - 5 \geq u + 5 - 5 \geq 8 - 5$ $\newline$ $11 \geq u \geq 3$
Write Final Compound Inequality: Write the final answer as a compound inequality with integers. $\newline$ The final answer is $11 \geq u \geq 3$ , which means $u$ is less than or equal to $11$ and greater than or equal to $3$ .