Question

Solve: |5x + 2| + 7 < 19

Answer 1

:D

Answer 2

:D is the final answer.

Answer 3

A. x < 2 and x > -14/5
B. x < 2 and x < -14/5
C. x > 2 and x > 14/5
I'm not sure how to get the second half...

Answer 4

|5x + 2| < 12
-12< 5x+2 < 12
-14< 5x < 10
-14/5 < x < 2

Answer 5

|5x + 2| + 7 < 19
|5x + 2| < 19 - 7
|5x + 2| < 12
-12 < 5x + 2 < 12
-14 < 5x < 10
-14/5 < x < 2

Answer 6

A

Answer 7

I don't like the way they present the possible solutions

Answer 8

In general, if |x - a| < b, then -b < x - a < b

Answer 9

You read it like this: If the absolute value of x minus a is less than b, then x minus a is between negative and positive b

Answer 10

And then you continue solving for x