Question

|2x+5| –1 < 6 |2x+5| –1 < 6 @Mathematics

Answer 1

First bring all constants to one side.
So, you get:
|2x+5| < 5

For the above to be true:
2x must be less than zero OR
2x must be greater than -10

So, x must be less than zero OR
x must be greater than -5

Remember, | | makes a negative number into positive.

Answer 2

thank you

Answer 3

Sorry, there is one mistake I made. IT must be
|2x + 5| < 7 (not 5).
So, 2x must be less than 2 OR
2x must be greater than -12

Answer 4

so what about the -1

Answer 5

You take it to the other side. It becomes +1 when taken to the other side. That is why it comes out to |2x + 5| < 7.

Originally, I made a mistake of taking one to the other side and subtracting.

Answer 6

so it will be