## aceace Group Title Absolute Value Question!!! one year ago one year ago

1. aceace Group Title

$\left| x^2 -1 \right| \le 4$

2. Ammarah Group Title

Find the vlue of x

3. aceace Group Title

i got x is less than or equal to root 5 / x is greater than or equal to root negative 3

4. Ammarah Group Title

Could u give me a medal first plese

5. aceace Group Title

How do you do this question? O.o

6. Ammarah Group Title

Medal first please i onlybhelp ppl who give medals

7. aceace Group Title

Are meant to give medals first?

8. Sqrt Group Title

no u answer first then get medals -_______________-

9. Ammarah Group Title

Ok so u know absolute value is always positive right?

10. aceace Group Title

yah

11. Sqrt Group Title

The number is not necessarily positive, but the definition is the value by which the number is farthest from zero (distance). Eg 1 and -1 both are 1 unit away from zero. That is why it is represented as a positive number. Also, distance can't be represented as a negative number. (e.g. You can't be -5 km away from home.)

12. Hero Group Title

|x² - 1| ≤ 4 -4 ≤ x² - 1 ≤ 4 -4 + 1 ≤ x² ≤ 4 + 1 -3 ≤ x² ≤ 5 √3 i ≤ x ≤ √5

13. Hero Group Title

Since √3i does not represent distance, the solution should only be written as x ≤ √5

14. aceace Group Title

15. Hero Group Title

There is no minus root 5

16. Sqrt Group Title

"There is actually no such thing as a plus-or-minus square root: it is merely language used to save words. For example, the equation x²=9 has two solutions, which are x=3 and x=-3. It is tedious to say: “since x²=9, x must be 3 or -3″. As a shortcut, we say: “since x²=9, x must be ±3.” http://www.xamuel.com/plus-or-minus-square-roots/

17. Hero Group Title

|x² - 1| ≤ 4 -4 ≤ x² - 1 ≤ 4 -4 + 1 ≤ x² ≤ 4 + 1 -3 ≤ x² ≤ 5 -√5 ≤ x ≤ √5

18. Hero Group Title

That should be it

19. Sqrt Group Title

|x² - 1| ≤ 4 x²≤ 4+1 x²≤5 √x²≤√5 x≤√5