Question

-4 (3t-9) is greater than or equal to 8 (-8-t) how Do I figure the answer out

Answer 1

-4(3t-9)≥8(-8-t)

Apply distributive property here:

-12t+36≥-64-8t
Add 12t to both sides
36≥-64+4t
Now, Subtract 64 from both sides
28≥4t
divide both sides by 4
7≥t

In short, Your Answer would be t≤7

Hope this helps!

Answer 2

-4(3t-9)≥8(-8-t)
distribute
-12t+36≥-64-8t
add 12t to both sides
36≥-64+4t
minus 64 both sides
28≥4t
divide both sides by 4
7≥t
t≤7