How do you graph the inequality #-4<x<=4#?

1 Answer
Aug 26, 2017

See a solution process below:

Explanation:

We can rewrite this system of inequalities as:

#x > -4# and #x <= 4#

To graph this we will draw vertical lines at #-4# and #4# on the horizontal access to mark the boundaries of the inequalities.

The line at #-4# will be a dashed line because the inequality operator does not contain an "or equal to" clause which means the line is not part of the solution set.

The line at #4# will be a solid line because the inequality operator does contain an "or equal to" clause which means the line is part of the solution set.

We will shade between the two lines.

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