How do you solve and graph #x < 5# or #x > -1#?

Answer 1
Since every number is either #<5# or #>-1# (some are both) the solution is all numbers #color(white)("XXXX")##x epsilon (-oo,+oo)#

You could graph this as a number line with the entire line shaded as part of the solution.

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Answer 2
To solve and graph the compound inequality \(x < 5\) or \(x > -1\), you would represent it on a number line. You'd first graph the solutions for \(x < 5\) as all real numbers to the left of 5, represented by an open circle at 5 and an arrow to the left. Then, you'd graph the solutions for \(x > -1\) as all real numbers to the right of -1, represented by an open circle at -1 and an arrow to the right.
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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.

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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