# How do you graph and solve # |2x-5| >= -1#?

Just find when

They are never equal.

Quick solution

The left part of the equation is an absolute, so it is always positive with a minimum of 0. Therefore, the left part is always:

Graph solution

This is negative when:

And positive when:

Therefore, for you must graph:

These are both lines. Graph is:

graph{|2x-5| [-0.426, 5.049, -1.618, 1.12]}

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To graph and solve the inequality |2x - 5| ≥ -1, first, recognize that the absolute value of any expression is always non-negative. Therefore, |2x - 5| will always be greater than or equal to 0. Hence, the inequality |2x - 5| ≥ -1 is always true for all real values of x. Therefore, the solution to the inequality is all real numbers.

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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.

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.

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.

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