2t + 8 ≥ −4(t + 1)
Let's solve the inequality step by step:
2t + 8 ≥ -4(t + 1)
First, distribute -4 to (t + 1):
2t + 8 ≥ -4t - 4
Next, combine like terms:
2t + 4t ≥ -4 - 8
6t ≥ -12
Now, divide both sides by 6 to isolate t:
t ≥ -12/6
t ≥ -2
Therefore, the solution to the inequality is t ≥ -2.
To solve the inequality 2t + 8 ≥ -4(t + 1), you can follow these steps:
Step 1: Distribute the -4 on the right side of the inequality equation.
2t + 8 ≥ -4t - 4
Step 2: Combine like terms on both sides of the equation.
2t + 4t + 8 ≥ -4
6t + 8 ≥ -4
Step 3: Subtract 8 from both sides of the equation.
6t + 8 - 8 ≥ -4 - 8
6t ≥ -12
Step 4: Divide both sides of the equation by 6.
(6t)/6 ≥ (-12)/6
t ≥ -2
Step 5: The solution to the inequality is t ≥ -2.