(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