Q. Solve for t.0>t+8>−2Write 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>−20−8>t+8−8>−2−8−8>t>−10
Subtract 8 to Isolate: Write the final answer as a compound inequality with integers.The inequality −8>t>−10 matches choice (B).