Answer:
Step-by-step explanation:
12b + 12 ≥ 60
1) add -12 at both members
12b + 12-12 ≥ 60 -12
12b ≥ 48
2) divide both members by 12
12/12 b ≥ 48/12
b ≥ 4
for graph the solutions we have to draw two lines
the first one is an horizontal line that has as equation the right part of the inequality
y = 60
the second one is a line the that passes from the origin and interecpts the first line in (4;60). 4 is the the first number that can be a possible value of the inequality
Equation a line that passes for two points A (0,0) , B (4,60)
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y - 60)/ (0 -60) = (x - 4) / (0-4)
(-y+60)/60 (-x+4)/4
-y + 60 = -15x + 60
y = 15x
the solutions of the inequality are all the points between the two lines with x≥4 and y≥60
