Solve |x + 5| ...?

Question

how do i do this??

Answer 1

There's nothing so solve, because this is just one expression, not set equal to anything. However, the | | symbol is the absolute value operation, which returns the distance from zero of the expression between the bars. That is to say, for a positive number, absolute value returns the number. For a negative number, absolute value returns the opposite of the number. So if x + 5 is positive, then |x + 5| = x + 5. If x + 5 is negative, then |x + 5| = -x - 5. If you had |x + 5| equal to something, you would have to take x + 5 equal to that thing and -x - 5 equal to that thing, and solve both equations; there are usually two correct answers, unless the absolute value is set equal to zero.

Answer 2

You must have something on the right.
for example : |x+5| = 7
consider 2 possibilities.
x+5 > 0 and x+5 < 0
case 1: x+5 > 0
|x+5|=x+5
x+5=7
x=2
Case 2: x+5 < 0
|x+5|=-(x+5) = -x-5
-x-5 =7
-x=12
x=-12
so there are 2 answers x=2 and x=-12

Answer 3

This doesn't mean anything. You need to have a right hand side in order to solve this expression.

Answer 4

write |x +5| as
x +5 is x > -5 or
-x -5 if x < -5
and continue .............

Answer 5

equals what?