How do you graph the inequality #-2<=x<5#?

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Answer 1 · 2017-08-21T16:44:36

See a solution process below:

We can rewrite this as system of inequalities as:

#x >= -2# and #x < 5#

We can graph this by drawing vertical lines at the boundaries of the inequality at #-2# and #5# on the #x#-axis.

The vertical line at #-2# will be a solid line because the inequality contains a "or equal to" clause.

The vertical line at #5# will be dashed because that inequality does not contains a "or equal to" clause.

We will shade the space between the two lines:

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