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How do you graph #x ≥ 4# or #x > -4#?

Answer 1

Kennedy Adams

-1 < x ≤ 0

The task can be graphically illustrated as follows:

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Answer 2

Julia Adams

To graph the compound inequality x ≥ 4 or x > -4, follow these steps:

Graph the inequality x ≥ 4 as a solid vertical line passing through the point (4,0) on the x-axis. Shade the region to the right of the line since it includes all points where x is greater than or equal to 4.
Graph the inequality x > -4 as a dashed vertical line passing through the point (-4,0) on the x-axis. Shade the region to the right of the dashed line since it includes all points where x is greater than -4.
The shaded region where the two inequalities overlap represents the solution set for the compound inequality x ≥ 4 or x > -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 #x ≥ 4# or #x &gt; -4#?

How do you graph #x ≥ 4# or #x > -4#?