## milenastro22 2 years ago Solve |x|>4

1. myininaya

So we have |x|>4. This means when do we have distance from x to 0 being greater than 4?

2. milenastro22

{x|-4< x< 4} is this it

3. myininaya

Well those numbers give you a distance from 0 less than 4.

4. myininaya

> means greater than

5. myininaya

not less than

6. milenastro22

{x|x< -4 or x> 4} so this

7. myininaya

Yes the numbers you stated will always give you a distance from 0 being greater than 4.

8. milenastro22

so that's the answer

9. myininaya

Example 1 |5|>4 but here x>4 since x=5 Another example |-5|>4 but there x<-4 since x=-5 Both of your inequalities you wrote include these numbers and infinitely many more that satisfy the inequalities x<-4 or x>4.

10. milenastro22

so yes or no

11. myininaya

Yes or no to what?

12. milenastro22

{x|x< -4 or x> 4} is this the right answer that I got

13. myininaya

I already said yes :p .

14. milenastro22

o ya sorry

15. milenastro22

thank you

16. myininaya

Np.

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