Solve for u. u + 19 ≤ 8 or u - 19 ≥ -6 Write your answer as a compound inequality with integers. Choices: (A)u ≤ 27 or u ≥ 13 (B)u ≤ 27 or u ≥ -25 (C)u ≤ -11 or u ≥ -25 (D)u ≤ -11 or u ≥ 13

Subtract to isolate u: To solve the inequality u + 19 ≤ 8, we need to isolate u. To do this, we subtract 19 from both sides of the inequality. Calculation: u + 19 - 19 ≤ 8 - 19 u ≤ -11Add to isolate u: To solve the inequality u - 19 ≥ -6, we need to isolate u. To do this, we add 19 to both sides of the inequality. Calculation: u - 19 + 19 ≥ -6 + 19 u ≥ 13Combine results into compound inequality: Now we combine the two results into a compound inequality. The final answer is u ≤ -11 or u ≥ 13.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

u

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u + 19 \leq 8

u - 19 \geq -6

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

u \leq -11

u \geq 13

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(B)

u \leq 27

u \geq -25

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(C)

u \leq -11

u \geq -25

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(D)

u \leq -11

u \geq 13

Subtract to isolate $u$ : To solve the inequality $u + 19 \leq 8$ , we need to isolate $u$ . To do this, we subtract $19$ from both sides of the inequality. $\newline$ Calculation: $u + 19 - 19 \leq 8 - 19$ $\newline$ $u \leq -11$
Add to isolate $u$ : To solve the inequality $u - 19 \geq -6$ , we need to isolate $u$ . To do this, we add $19$ to both sides of the inequality. $\newline$ Calculation: $u - 19 + 19 \geq -6 + 19$ $\newline$ $u \geq 13$
Combine results into compound inequality: Now we combine the two results into a compound inequality. $\newline$ The final answer is $u \leq -11$ or $u \geq 13$ .