# How do you solve the inequality: #-5(13x + 3) < - 2(13x - 3)#?

Next, use the distributive property of multiplication to expand the two parantheses

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To solve the inequality -5(13x + 3) < -2(13x - 3), first distribute the -5 and -2:

-5 * 13x = -65x -5 * 3 = -15

-2 * 13x = -26x -2 * -3 = 6

Then, rewrite the inequality:

-65x - 15 < -26x + 6

Subtract -26x from both sides:

-65x - 26x - 15 < 6

Combine like terms:

-91x - 15 < 6

Add 15 to both sides:

-91x < 21

Divide both sides by -91 (remember to flip the inequality sign when dividing by a negative number):

x > -21/91

So, the solution to the inequality is x > -21/91.

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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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