How do you solve and graph #-p/7> -9#?

1 Answer
Sep 7, 2017

Answer:

See a solution process below:

Explanation:

First, multiply each side of the inequality by #color(blue)(-7)# 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:

#color(blue)(-7) xx p/(-7) color(red)(<) color(blue)(-7) xx -9#

#cancel(color(blue)(-7)) xx p/color(blue)(cancel(color(black)(-7))) color(red)(<) 63#

#p < 63#

To graph this we will draw a vertical line at #63# on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the left side of the line because the inequality operator does contains a "less than" clause:

graph{x<63 [-100, 100, -50, 50]}