Question

Solve: |-7x| > 21
A. -3 < x < 3
B. -3 > x < 3
C. x > -3
D. x < -3 or x > 3

Answer 1

2.Solve: |x| < 2
A. x < 2
B. -2 < x < 2
C. x > -2
D. x < 0

Answer 2

3.Solve: -3 + |2x + 7| > 6
A. x < 1
B. x < -8 and x > 1
C. x > -8
D. x > 1 or x < -8

Answer 3

4.Solve: |x - 3| < 8
A. -8 < x < 11
B. x < -5 and x > 11
C. x < 8
D. -5 < x < 11

Answer 4

¯\_(ツ)_/¯

Answer 5

So what is it about absolute values that you do not get?

Answer 6

Or is it the inequality part?

Answer 7

@nguyen8ki

Answer 8

I'll give you two formula:
if |x|<a then -a<x<a
if |x|>a then x<-a or x>a
learning this by heart is really helpful in the future
________________________________________________
now let's apple the first one in number 2
|x|<2
by learning the above formula I can go straight to the answer -2<x<2
so the answer is B
I really want to solve the rest of the problems for you, but I also want you to apply these rules to figure out yourself. That way will help you encounter so many similar problems.

Answer 9

I'm sorry. It should be " apply" instead of " apple".

Answer 10

can you ehlp me on 3

Answer 11

number 4 is D ??

Answer 12

-3+|2x+7|>6
+3 +3
_________________
|2x+7|>9
now appy the second formula which is |x|>a => the answer is x>a or x<-a
|2x+7|>9
=> 2x+7>9 or 2x+7<-9
-7 -7 or -7 -7
_______________________________________
2x> 2 or 2x < -16
x>1 or x <-8
so B
see how I apply the formula in problem 3 ?

Answer 13

yesdid i get number 4 right

Answer 14

yes D. you're right

Answer 15

so what is the answer for number 1? By using the formula I can see the answer right away.