SOLUTION: Solve the inequality. x^2 < 4 -4 < x^2 < 4 I must take the square root on all three sides. The problem is -4. I cannot take the square root of -4 Stuc

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Question 1199371: Solve the inequality.

x^2 < 4


-4 < x^2 < 4


I must take the square root on all three sides.
The problem is -4. I cannot take the square root of -4


Stuck here.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
    For inequality x^2 < 4,  the solution set is  -2 < x <2.    ANSWER

Solved and completed.

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If you want more explanations,  then consider that follows. 

Inequality  x^2 < 4 is the same as (is equivalent to)  x^2 -4 < 0.

Factor left side  x^2 - 4 = (x-2)*(x+2).


Therefore, your inequality is  

    (x-2)*(x+2) < = 0.


It happens if and only if the two factors (x-2) and (x+2) are of opposite (= different) signs, i.e.

    x-2 < 0, x+2 > 0,

which implies

    -2 < x < 2,    ANSWER


the same answer set as in the very first solution above.

Solved,  with complete explanations.