Solve for w. 4 > w + 7 > -7 Write your answer as a compound inequality with integers. Choices: (A)-3 ≥ w > -14 (B)-3 > w > -14 (C)w ≥ -3 or w -3 or w < -14

Analyze Compound Inequality: Analyze the compound inequality 4 > w + 7 > -7. Which operation should we use to isolate w? In w + 7, 7 is being added to w. Subtraction should be used to isolate w.Use Subtraction to Isolate: Subtract 7 from all parts of the inequality to isolate w. 4 > w + 7 > -7 4 - 7 > w + 7 - 7 > -7 - 7 -3 > w > -14Subtract 7 to Isolate: Write the final answer as a compound inequality with integers. The inequality -3 > w > -14 matches one of the given choices.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

w

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4 > w + 7 > -7

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

-3 \geq w > -14

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(B)

-3 > w > -14

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(C)

w \geq -3

w < -14

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(D)

w > -3

w < -14

Analyze Compound Inequality: Analyze the compound inequality 4 > w + 7 > -7. Which operation should we use to isolate $w$ ? In $w + 7$ , $7$ is being added to $w$ . Subtraction should be used to isolate $w$ .
Use Subtraction to Isolate: Subtract $7$ from all parts of the inequality to isolate $w$ . $\newline$ 4 > w + 7 > -7 $\newline$ 4 - 7 > w + 7 - 7 > -7 - 7 $\newline$ -3 > w > -14
Subtract $7$ to Isolate: Write the final answer as a compound inequality with integers. $\newline$ The inequality -3 > w > -14 matches one of the given choices.