How do you solve #3>h/-2# and graph the solutions?

1 Answer
Oct 4, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the inequality by #color(blue)(-2)# to solve for #h# 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)(-2) xx 3 color(red)(<) color(blue)(-2) xx h/-2#

#-6 color(red)(<) cancel(color(blue)(-2)) xx h/color(blue)(cancel(color(black)(-2)))#

#-6 color(red)(<) h#

We can state the solution in terms of #h# by reversing or "flipping" the entire inequality:

#h > -6#

To graph this we will draw a vertical line at #-6# 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 right side of the line because the inequality operator contains a "greater than" clause:

graph{x>=-6 [-10, 10, -5, 5]}