Question

Solve the inequality -2(z + 5) + 20 7 6.

Answer 1

first you need to distribute
then you’d have -2z - 10 + 20 > 6
-2z + 10 > 6
-2z > 6 - 10
-2z > - 4
z < 2

Answer 2

z<2

Explanation:

-2(z + 5) + 20 > 6

Subtract 20 from each side

-2(z + 5) + 20 -20 > 6-20

-2(z + 5) > -14

Divide each side by -2 remembering to flip the inequality

-2/ -2(z + 5) < -14/-2

z+5 < 7

Subtract 5 from each side

z+5-5 < 7-5

z<2