Given the inequality
y=12|3(x+1)|−6
we sre to fill the table for the va;ues of x from 6 to -5
When x = 6
y = 1/2|3(6+1)|−6
y = 1/2|3(7)|−6
y = 1/2|21|-6
y = 1/2(21)-6
y = 10.5-6 and -10.5-6
y = 4.5 and -16.5
When x = 5
y = 1/2|3(5+1)|−6
y = 1/2|3(6)|−6
y = 1/2|18|-6
y = (9)-6
y = 9-6 and -9-6
y = 3 and -15
When x = 4
y = 1/2|3(4+1)|−6
y = 1/2|3(5)|−6
y = 1/2|15|-6
y = 1/2(15)-6
y = 7.5-6 and -7.5-6
y = 1.5 and -13.5
When x = 3
y = 1/2|3(3+1)|−6
y = 1/2|3(4)|−6
y = 1/2|12|-6
y = (6)-6
y = 6-6 and -6-6
y = 0 and -12
When x = 2
y = 1/2|3(2+1)|−6
y = 1/2|3(3)|−6
y = 1/2|9|-6
y = (4.5)-6
y = 4.5-6 and -4.5-6
y = -1.5 and -10.5
When x = 1
y = 1/2|3(1+1)|−6
y = 1/2|3(2)|−6
y = 1/2|6|-6
y = 3-6
y = 3-6 and -3-6
y = -3 and -9
When x = 0
y = 1/2|3(0+1)|−6
y = 1/2|3(1)|−6
y = 1/2|3|-6
y = 1.5-6
y = 1.5-6 and -1.5-6
y = -4.5 and -7.5
When x = -1
y = 1/2|3(-1+1)|−6
y =1/2(0)−6
y = 0-6
y = -6
When x = -2
y = 1/2|3(-2+1)|−6
y = 1/2|3(-1)|−6
y = 1/2|-3|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5
When x = -3
y = 1/2|3(-3+1)|−6
y = 1/2|3(-2)|−6
y = 1/2|-6|-6
y = -3-6 and 3-6
y = -9 and -3
When x = -4
y = 1/2|3(-4+1)|−6
y = 1/2|3(-3)|−6
y = 1/2|-9|-6
y = -4.5-6 and 4.5-6
y = -10.5 and -1.5
When x = -5
y = 1/2|3(-5+1)|−6
y = 1/2|3(-4)|−6
y = 1/2|-12|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5