How do you solve and graph # 20b ≥ -120 #?

1 Answer
Aug 27, 2017

Answer:

See a solution process below:

Explanation:

Divide each side of the inequality by #color(red)(20)# to solve for #b# while keeping the inequality balanced:

#(20b)/color(red)(20) >= -120/color(red)(20)#

#(color(red)(cancel(color(black)(20)))b)/cancel(color(red)(20)) >= -6#

#b >= -6#

To graph this we will draw a vertical line at #-6# on the horizontal axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade to the right side of the line because the inequality operator also contains a "greater than" clause:

graph{x>=-6}