1. ## Absolute Value Q

Solve [3x +7]-9 = -10. Write the solution in interval notation.

Well I solved the problem and arrived at:

[-2 , -8/3]

However, when I check my solutions neither satisfy the equation. So is the answer No Solution? I'm saying no solution because its not possible to make a -1 from the absolute value to add with -9.

2. Originally Posted by CODEONE
Solve [3x +7]-9 = -10. Write the solution in interval notation.

Well I solved the problem and arrived at:

[-2 , -8/3]

However, when I check my solutions neither satisfy the equation. So is the answer No Solution? I'm saying no solution because its not possible to make a -1 from the absolute value to add with -9.

I think your post is mistyped, but I think this is what you mean

$|3x+7|-9=-10$

if you isolate the absolute value you get...

$|3x+7|=-1$ Since the absolute value is always non negative (0 or larger) the equation has no solutions.

I hope this helps.
B