# How do you solve and graph #y - 2 > -3#?

Given an inequality, the following operations can be performed to both sides of the inequality without effecting the inequality relation:

- Add any amount
- Subtract any amount
- Multiply by any amount
#> 0# - Divided by any amount
#> 0#

Given

We can add

Since this is a relationship involving a single variable, it could be graphed on a number line (top image below); notice the hollow circle which indicates that the value

You could also graph this relationship on the Cartesian plane (bottom image below); again, notice the broken line on the left indicates that

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To solve the inequality (y - 2 > -3), you would add 2 to both sides to isolate (y). This gives you (y > -1). To graph this inequality, you would draw a dashed horizontal line at (y = -1) (since (y) is not equal to (-1)) and shade the region above the line.

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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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