2t + 8 ≥ −4(t + 1)
t ≥ _____
t ≥ -2
To solve the inequality 2t + 8 ≥ -4(t + 1), we will follow these steps:
Step 1: Distribute -4 to (t + 1)
2t + 8 ≥ -4t - 4
Step 2: Combine like terms
2t + 4t + 8 ≥ - 4
Step 3: Simplify the left side
6t + 8 ≥ - 4
Step 4: Subtract 8 from both sides
6t ≥ -12
Step 5: Divide both sides by 6
t ≥ -2
Therefore, the solution to the inequality is t ≥ -2.