2t + 8 ≥ −4(t + 1)
t ≥ _____
(1 point)
Responses
negative seven sixths
Image with alt text: negative seven sixths
–2
–2
–6
–6
2
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