Question

Identify the solution set of |2x + 5| - 1 < 6 and describe the graph in a complete sentence.

Answer 1

First, get the |2x+5| part by itself.

Answer 2

how?

Answer 3

Well, what part of that equation is making it NOT by itself? How would you move that to the other side?

Answer 4

add 1?

Answer 5

Boom. Nailed it.

Answer 6

Add 1 to both sides, which gets you
|2x+5| < 7

Answer 7

okay i got that

Answer 8

Cool, once you have the absolute value part by itself, you can break it into two inequalities.

|blah blah| < N
blah blah < N AND blah blah > -N

Answer 9

kk