Question

Making Sure these are right?
absolute value:
1.|7x+2|=10
x=1.1 x=1.7

2.|3x-5|=-1
x=1.3 x=2

Answer 1

1. Eliminate the absoulute value :

7 x + 2 = 10

7 x + 2 = - 10
_________________

7 x + 2 = 10

7 x = 10 - 2 = 8

x = 8 / 7


7 x + 2 = - 10

7 x = - 10 - 2 = - 12


x = - 12 / 7


Solutions x = 8 / 7 aprox. 1.14 and x = - 12 / 7 aprox. - 1.71


2.Eliminate the absoulute value :

Absolute value can't be negative.

No solutions exist.

Answer 2

So if the absolute vale equals a negative number there is no solution?
Such as:
|x^2+2x+1|=-4
So, that has no solution?