# How do you solve and graph #4>=2y-5>=-2#?

To graph this, place solid dots over

When approaching a problem like this, we're actually doing two inequalities at the same time. What we do to the middle we must do to both sides:

We can add 5 to all sides:

And now divide all sides by 2:

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To solve the compound inequality (4 \geq 2y - 5 \geq -2), first, add 5 to all parts of the inequality:

[4 + 5 \geq 2y - 5 + 5 \geq -2 + 5]

Simplify:

[9 \geq 2y \geq 3]

Then, divide all parts by 2:

[\frac{9}{2} \geq \frac{2y}{2} \geq \frac{3}{2}]

Which simplifies to:

[4.5 \geq y \geq 1.5]

So, the solution to the compound inequality is (4.5 \geq y \geq 1.5).

To graph it on a number line, draw a line with a closed circle at (y = 4.5) and another closed circle at (y = 1.5). Then shade the region in between the two points to represent the solution set.

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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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