Question

In Exercise,solve for
0 < (x^2 - 1)1/2

Answer 1

Answer: 1 < x or x < -1

Explanation:

Here we must solve the inequality:

0 < (x^2 - 1)*1/2

First we can multiply both sides by 2.

2*0 < (x^2 - 1)*1/2*2

0 < (x^2 - 1)

Now we can add 1 in each side:

1 + 0 < x^2 - 1 + 1

1 < x^2

now applly the square root at both sides:

√1 < √x^2

Now, as you know the square roots can have negative and positive results, so of this we got that:

1 < x or x < -1