How do you solve and graph # 8x > 7x - 4 #?

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Answer 1 · 2017-12-08T02:07:06

See a solution process below:

Subtract #color(red)(7x)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#8x - color(red)(7x) > 7x - color(red)(7x) - 4#

#(8 - color(red)(7))x > 0 - 4#

#1x > -4#

#x > -4#

To graph this we will draw a vertical line at #-4# 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 also contains a "greater than" clause:

graph{x > -4 [-10, 10, -5, 5]}