Question

Absolute Value Question!!!

Answer 1

\[\left| x^2 -1 \right| \le 4\]

Answer 2

Find the vlue of x

Answer 3

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

Answer 4

Could u give me a medal first plese

Answer 5

How do you do this question? O.o

Answer 6

Medal first please i onlybhelp ppl who give medals

Answer 7

Are meant to give medals first?

Answer 8

no u answer first then get medals -_______________-

Answer 9

Ok so u know absolute value is always positive right?

Answer 10

yah

Answer 11

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.)

Answer 12

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

Answer 13

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

Answer 14

what about minus root five?

Answer 15

There is no minus root 5

Answer 16

"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/

Answer 17

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

Answer 18

That should be it

Answer 19

|x² - 1| ≤ 4
x²≤ 4+1
x²≤5
√x²≤√5
x≤√5