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

Answer 1

See a solution process below:

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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Answer 2

Hazel Anglin

To graph the inequality -4 < x ≤ 4 on a number line, you start by drawing a solid circle at -4 to indicate that x can be equal to -4. Then, you draw a line extending to the right with an arrow, indicating that x is less than but not equal to 4. Finally, you draw another solid circle at 4 to indicate that x can be equal to 4. The resulting graph should show a solid dot at -4, a line extending to the right, and another solid dot at 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph the inequality #-4&lt;x&lt;=4#?

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