Solve for d. 19 > d + 15 ≥ 0 Write your answer as a compound inequality with integers. Choices: (A)4 ≥ d ≥ -15 (B)4 > d ≥ -15 (C)d > 4 or d ≤ -15 (D)d ≥ 4 or d ≤ -15

Analyze Inequality: Analyze the compound inequality 19 > d + 15 ≥ 0. Which operation should we use to isolate d? In d + 15, 15 is being added to d. Subtraction should be used to isolate d.Use Subtraction: Subtract 15 from all parts of the inequality to isolate d. 19 > d + 15 ≥ 0 19 - 15 > d + 15 - 15 ≥ 0 - 15 4 > d ≥ -15Subtract 15: Write the answer as a compound inequality with integers. The inequality 4 > d ≥ -15 matches one of the given choices.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

d

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19 > d + 15 \geq 0

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

4 \geq d \geq -15

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(B)

4 > d \geq -15

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(C)

d > 4

d \leq -15

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(D)

d \geq 4

d \leq -15

Analyze Inequality: Analyze the compound inequality 19 > d + 15 \geq 0. Which operation should we use to isolate $d$ ? In $d + 15$ , $15$ is being added to $d$ . Subtraction should be used to isolate $d$ .
Use Subtraction: Subtract $15$ from all parts of the inequality to isolate $d$ . $\newline$ 19 > d + 15 \geq 0 $\newline$ 19 - 15 > d + 15 - 15 \geq 0 - 15 $\newline$ 4 > d \geq -15
Subtract $15$ : Write the answer as a compound inequality with integers. $\newline$ The inequality 4 > d \geq -15 matches one of the given choices.