Question

What is the solution set of |x – 4| + 7 = 4?

Answer 1

subtract 7 from both side

Answer 2

subtract the 7 from both sides, then solve it the same way you did the last one.

Answer 3

I don't think the equation has any real solutions.

Answer 4

|x-4|+7=4

Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides.
|x-4|=-7+4

Add 4 to -7 to get -3.
|x-4|=-3

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x-4=\(-3)

Set up the portion of the \ solution.
x-4=-3

Move all terms not containing x to the right-hand side of the equation.
x=1

Set up the - portion of the \ solution.
x-4=-(-3)

Multiply -1 by the -3 inside the parentheses.
x-4=3

Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.
x=4+3

Add 3 to 4 to get 7.
x=7

The solution to the equation includes both the positive and negative portions of the solution.
x=1,7

Answer 5

x = 1, 7

Answer 6

no chance

Answer 7

That's true actually.

Answer 8

yup,no solutions

Answer 9

kushash.. your script doesn't work for this.

Answer 10

why polpak .

Answer 11

Because |x - 4| can not equal -3. Ever.

Answer 12

where i did wrong tell me

Answer 13

I did..

Answer 14

what u mean , given |x-4|+7=4
then can't we transpose +7 to right hand side getting |x-4|=4-7
|x-4|=-3