# How do you solve and write the following in interval notation: #-7x-2< -8x-6#?

Simplify:

Add #2@ to both sides of the inequality:

Simplify:

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To solve the inequality -7x - 2 < -8x - 6 and write it in interval notation:

- Add 8x to both sides: x - 2 < -6
- Add 2 to both sides: x < -4

So, the solution to the inequality is x < -4.

In interval notation, this is written as: (-∞, -4).

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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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