Question

Solve the inequality |x-10| - 9 < -1 and graph The solutions. Then write the solutions as a comp

Answer 1

As a compound inequality.

Answer 2

Pleaseeee helpppp!!!!

Answer 3

Do you know the first steps to solve the inequality?

Answer 4

No not sure

Answer 5

First step, is to isolate the absolute value side!

Answer 6

How do u exactly do that

Answer 7

By removing everything that's not INSIDE the absolute value sign on the left side of the inequality!

Answer 8

So u remove the -9 < -1?

Answer 9

Just the -9 because the -1 is on the right side of the inequality.

When I say inequality i mean the symbol in the middle that looks like this: <

Answer 10

Do do I cross out the -9?

Answer 11

No you can't just make the -9 disappear into nothing.

Answer 12

You have to add it to both sides!

Answer 13

So what do we do with the -9 to get rid of it?

Answer 14

You have to add 9 to the left side and the right side.

|x-10| - 9 < -1
+ 9 +9

Answer 15

By adding the opposite of -9 you can cancel it out with itself!

Answer 16

So it would be 8?

Answer 17

Yes! It would be 8 on the right side!

Answer 18

So now do we work within the absolute value on the left side?

Answer 19

So now we have |x-10| < 8 and now the absolute value sign has been isolated!

Answer 20

Yes but you have to do something special to solve that absolute value. Do you know what's next?

Answer 21

Ok so now what's the next step

Answer 22

Multiply?

Answer 23

Now you have to break the absolute value into "cases".

Answer 24

How will we do that?

Answer 25

|x-10| < 8 is broken down into x-10 < 8 and x-10 > -8