Question

Absolute Value Equations and Inequalities
lxl + 5 = 18

Answer 1

x = 13

Answer 2

explain?? please.......

Answer 3

subtract 5 from each side to get x + 5 - 5 = 18 - 5 then simplify to get x = 13

Answer 4

ok so if u had a problem like this: how would you solve it?

lxl + 3 < 5

Answer 5

Same thing, just be careful you can not have an absolute value equaling a negative number.

Answer 6

would this be right then?
- 8< x <2

Answer 7

There seems to be a small bit of confusion here. First, every absolute value has 2 solutions.
|x|+5 = 18
|x| = 13
At this stage we split the equation into a positive and negative form
First, the positive (everything stays the same)
x = 13
Second, the negative (multiply the absolute side by -1)
-x = 13
x = -13
The 2 answers are x = 13, -13

Answer 8

The basic solution given is ok, but the absolute value wasn't taken into account |x| = 13, which means x= 13 or =-13

Answer 9

thank you guys. i appreciate the help :)

Answer 10

For the second problem
|x| + 3 < 5
We simplify it to,
|x| < 5
Then we make the same split.
First, the positive
x < 5
Second, the negative
-x < 5
Remember, when you multiply both sides by a negative, the inequality flips, so
x > -5
Your answer here then is,
-5<x<5

Answer 11

Oops, I meant simplify to |x| < 2
which then gives -2 < x < 2

Answer 12

these are my answer choices.
- 8< x <2
- 2 < x <8
3< x <5
-3< x <5

Answer 13

Are you certain you wrote the problem correctly?

Answer 14

lx +3l <5

Answer 15

I thought so, the answer in that case is
First
x + 3 < 5
x < 5
Second
-x -3 < 5
-x < 8
x > -8
So,
-8 < x < 2.

Answer 16

Wow, I screwed up that first part again,
First,
x + 3 < 5
x < 2

Answer 17

lol thank you mucho!!!