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

i dont know sorry

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!