Question

If 7 is subtracted from half the number, the absolute value of the result is1.

Answer 1

Answer:

x=16;x=12

Step-by-step explanation:

Lets say the number is x.

Equation |1/2x-7|=1

so we could have 2 outcomes.

if the equation is actually equal to 1.

1/2x-7=1

     +7  +7

1/2x=8

*2     *2

x=16

The second outcome is if the equation is equal to -1.

1/2x-7=-1

1/2x=6

x=12

So both of these answers are the answers trying inputting it in like I did in the answer.

Answer 2

16 and 12

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Let the unknown number be x.

The problem states that subtracting 7 from half of x (which is x/2) and taking the absolute value results in 1. We can express this as:

• |(x/2) - 7| = 1

We should consider both the positive and negative scenarios since we are dealing with absolute value. This means we need to solve two separate equations:

• (x/2) - 7 = 1
• (x/2) - 7 = -1

For the first equation

Add 7 to both sides:

• x/2 = 8

Multiply both sides by 2:

• x = 16

For the second equation

Add 7 to both sides:

• x/2 = 6

Multiply both sides by 2:

• x = 12

Therefore, the two possible values for the number are 16 and 12.