How do you solve and graph #-15p ≤ -90 #?

1 Answer
smendyka
Oct 3, 2017

See a solution process below:

Explanation:

First, divide each side of the inequality by #color(blue)(-15)# to solve for #p# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:

#(-15p)/color(blue)(-15) color(red)(>=) (-90)/color(blue)(-15)#

#(color(blue)(cancel(color(black)(-15)))p)/cancel(color(blue)(-15)) color(red)(>=) 6#

#p color(red)(>=) 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 [-15, 15, -7.50, 7.50]}

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