Solve for u. 4 ≥ u + 15 > 0 Write your answer as a compound inequality with integers. Choices: (A)u > -11 or u -15 (C)-11 > u > -15 (D)u ≥ -11 or u < -15

Analyze Inequality: Analyze the compound inequality 4 ≥ u + 15 > 0. Which operation should we use to isolate u? In u + 15, 15 is being added to u. Subtraction should be used to isolate u.Subtract 15: Subtract 15 from all parts of the inequality 4 ≥ u + 15 > 0. 4 - 15 ≥ u + 15 - 15 > 0 - 15 -11 ≥ u > -15Rewrite in Conventional Format: Rewrite the inequality in a more conventional format, which is upper bound ≥ variable > lower bound. -11 ≥ u > -15 This is the correct compound inequality representing the solution.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

u

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4 \geq u + 15 > 0

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

u > -11

u < -15

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(B)

-11 \geq u > -15

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(C)

-11 > u > -15

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(D)

u \geq -11

u < -15

Analyze Inequality: Analyze the compound inequality 4 \geq u + 15 > 0. $\newline$ Which operation should we use to isolate $u$ ? $\newline$ In $u + 15$ , $15$ is being added to $u$ . $\newline$ Subtraction should be used to isolate $u$ .
Subtract $15$ : Subtract $15$ from all parts of the inequality 4 \geq u + 15 > 0. $\newline$ 4 - 15 \geq u + 15 - 15 > 0 - 15 $\newline$ -11 \geq u > -15
Rewrite in Conventional Format: Rewrite the inequality in a more conventional format, which is upper bound \geq variable > lower bound.-11 \geq u > -15 This is the correct compound inequality representing the solution.