Solve for t. 0 > t + 8 > -2 Write your answer as a compound inequality with integers. Choices: (A)-8 ≥ t > -10 (B)-8 > t > -10 (C)t > -8 or t < -10 (D)t ≥ -8 or t < -10

Analyze Compound Inequality: Analyze the given compound inequality 0 > t + 8 > -2. Which operation should we use to isolate t? In t + 8, 8 is being added to t. Subtraction should be used to isolate t.Use Subtraction to Isolate: Subtract 8 from all parts of the inequality to isolate t. 0 > t + 8 > -2 0 - 8 > t + 8 - 8 > -2 - 8 -8 > t > -10Subtract 8 to Isolate: Write the final answer as a compound inequality with integers. The inequality -8 > t > -10 matches choice (B).

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

t

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0 > t + 8 > -2

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

-8 \geq t > -10

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(B)

-8 > t > -10

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(C)

t > -8 \text{ or } t < -10

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(D)

t \geq -8 \text{ or } t < -10

Analyze Compound Inequality: Analyze the given compound inequality 0 > t + 8 > -2. Which operation should we use to isolate $t$ ? In $t + 8$ , $8$ is being added to $t$ . Subtraction should be used to isolate $t$ .
Use Subtraction to Isolate: Subtract $8$ from all parts of the inequality to isolate $t$ . $\newline$ 0 > t + 8 > -2 $\newline$ 0 - 8 > t + 8 - 8 > -2 - 8 $\newline$ -8 > t > -10
Subtract $8$ to Isolate: Write the final answer as a compound inequality with integers. $\newline$ The inequality -8 > t > -10 matches choice (B).