Find the number set which satisfies each of these problems. If 7 is subtracted from half the number, the absolute value of the result is 1.

16

Step-by-step explanation:

Let the number be A

From the question, if 7 is subtracted from half the number, absolute value of the result is equal to 1

This can be modeled by the expression below

1/2 A - 7 = 1

Add 7 to both sides of the expression

1/2 A - 7 + 7 = 1 + 7

1/2 A = 8

This can also be weritten as

A/2 = 8

Cross multiply

A = 2 x 8

A = 16

Put 16 for A in the expression above, the result is equal to 1.

Therefore, the number is 16