Question

Solve the inequality and show work:

-5(t+4) ≥ 3(t-4)

Answer 1

- 5.( t + 4 ) ≥ 3.( t - 4 )
- 5t - 20 ≥ 3t - 12
- 5t - 3t ≥ - 12 + 20
- 8t ≥ 8 .(-1)
8t ≤ - 8
t ≤ - 8
8
t ≤ - 1

Answer 2

-5(t+4)>3(t-4)

use distributive property
a(b+c)=ab+ac

-5t-20>3t-12
add 5t both sides
-20>8t-12
add 12 to both sdies
-8>8t
divide both sdies by 8
-1>t

t<-1