Question

I just keep asking but I'm so bad with inequalities! Match each absolute value with its equivalent compound sentence

1.
|x - 5| = 4:
|x - 5| = 4
2.
|x - 5| < 4:
|x - 5| < 4
3.
|x - 5| > 4:
|x - 5| > 4
4.
|2x + 3| < 8:
|2x + 3| < 8
5.
|2x + 3| > 8:
|2x + 3| > 8
Column B
a.
2x + 3 > 8 or 2x + 3 < -8
b.
-8 < 2x + 3 < 8
c.
x - 5 > 4 or x - 5 < -4
d.
x - 5 = 4 or x - 5 = -4
e.
-4 < x - 5 < 4

Answer 1

well for absolute expressions you put the set quantity equal to plus and minus the answer so like on number 1
x-5=-4 and x-4=4
and you can do the same thing throughout like on 2
x-5>4 or x-5<-4
doing this to make it negative you have to flip the sign

Answer 2

Still kind of confused