Iwill awarddo both

find the number set which satisfies each of these problems.
if 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3.
if 7 is subtracted from half the number, the absolute value of the result is 1.

Part 1) The  numbers set which satisfies the equation are

Part 2) The  numbers set which satisfies the equation are

Step-by-step explanation:

Part 1) If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3

Let

x-----> the number

we have

we know that

The absolute value has two solutions

First case (positive)

Second case (negative)

The  numbers set which satisfies the equation are

Part 2) If 7 is subtracted from half the number, the absolute value of the result is 1

Let

x-----> the number

we have

we know that

The absolute value has two solutions

First case (positive)

Second case (negative)

The  numbers set which satisfies the equation are