Question

Solve the three-part linear inequa -(3)/(4)<=t+1<(1)/(2)

Answer 1

To solve the inequality -(3)/4<=t+1<(1)/2, subtract 1 from both sides and simplify the fractions to find -1.75 <= t < -0.5 as the solution.

Step-by-step explanation:

To solve the three-part linear inequality -(3)/4<=t+1<(1)/2, we need to isolate t in the middle of the inequality. Let's solve it step-by-step:

Step 1: Subtract 1 from all parts of the inequality:

-(3)/4 - 1 <= t + 1 - 1 < (1)/2 - 1
-7/4 <= t < -1/2

Step 2: Simplify the fractions:

-1.75 <= t < -0.5

Therefore, the solution to the inequality is -1.75 <= t < -0.5.