Question

Solve the compound inequality and choose the correct graph below -x+5≥9x-15 and 3x-9<5x+3

Answer 1

The correct graph is A.

Using the inequality expressions given;

• -x + 5 >= 9x - 15

collect like terms

-x - 9x >= -15 -5

-10x >= -20

x <= 2

Similarly;

3x - 9 < 5x + 3

3x - 5x < 3 + 9

-2x < 12

x > -6

Hence, the correct graph is A.