Question

Match each compound inequality to its solution

Answer 1

(1)4x + 3> 15 or -6x>=12

4x+3>15, subtract 3 on both sides (4x> 12) and then divide both sides by 4

x > 3

-6x>=12, divide both sides by -6 , so x<=-2

x>3 or x<=-2

The middle graph satisfies the above inequality

(2) -8x>-24 and -10<=2x-6

-8x>-24 , divide both sides by -8 , so it becomes x < 3

-10<=2x-6, add both sides by 6 , -4<=2x . then divide both sides by 2

x >=-2

x>-2  and x<3

The last graph satisfies the above inequality

-29<=9x-2<16

Add both sides by 2  and then divide both sides by 9

-27 <= 9x < 18

divide both sides by 9

-3 <= x < 2

x lies between -3  and 2

The first graph satisfies the above inequality