Question

Solve the inequality (show your work): -5/2(3x + 4) < 6 - 3x

Answer 1

(-15/6)x-10<6-3x

(-15/6)x+(18/6)x<16

(1/2)x>16

x>32

Answer 2

-5/2 (3x+4)<6-3x          distribute

-15/2 x-10<6-3x                move -15/2 to the other side by adding it to 3x

-10<6+9/2 x                       move 6 over by subtracting it from -10

-16<9/2 x                          divide 9/2 by 16 (or multiply 2/9)

-32/9<x