Translate the sentence into an inequality. Twice the difference of a number and 8 is greater than −21. Use the variable b for the unknown number.

Step-by-step explanation:

The statement

Twice the difference of a number and 8 is written as

2( b - 8)

The expression is greater than - 21 so we represent it by the > sign

So we have

2( b - 8) > - 21

Expand

2b - 16 > - 21

2b > - 21 + 16

2b > - 5

Divide both sides by 2

Hope this helps you

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