Question

What are the solution intervals for |2x – 1| + 6 > 9?

Answer 1

I 2x-1I = -(2x-1) if x<1/2
= (2x-1) if x>1/2

Answer 2

so for x<1/2
-(2x – 1) + 6 > 9

and for x>1/2
(2x – 1) + 6 > 9

Answer 3

solve both inequality separately

Answer 4

does it make sense?

Answer 5

You can also do
6-1+9=14
Because we were combining like terms. So we are left with 2x > 14, then we used inverse operations. So we subtract 2 from both sides. So we are left with x>12.
So that's the simplified equation.