Answer: 1 < x or x < -1
Step-by-step 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
