2t + 8 ≥ −4(t + 1)

Question

t ≥ _____
(1 point)
Responses

negative seven sixths
Image with alt text: negative seven sixths

–2
–2

–6
–6

2

Answer 1

To solve the inequality, we need to distribute the -4 on the right side:

2t + 8 ≥ -4t - 4

Next, we can combine like terms by adding 4t to both sides:

6t + 8 ≥ -4

Then, we can subtract 8 from both sides:

6t ≥ -12

Finally, we divide both sides by 6 to solve for t:

t ≥ -2

Thus, the answer is:

t ≥ -2