# How do you write an inequality and solve given "a number decreased by 8 is less than 21"?

See the entire solution process below:

First, write the inequality.

Therefore "a number decreased by 8" can be written as:

"is less than 21" can be written as:

Putting this altogether gives:

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To write the inequality and solve the given statement "a number decreased by 8 is less than 21," you would represent the situation as follows:

Let x be the number.

The inequality would be: x - 8 < 21.

To solve for x:

Add 8 to both sides of the inequality: x - 8 + 8 < 21 + 8 x < 29

So, the solution to the inequality is x < 29.

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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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