What is the solution of the inequality 9 - x^2 < 0?
(a) {x | -3 < x < 3}
(b) {x | x > 3 or x < -3}
(c) {x | x | x > 3}
(d) {x | x < -3}
show how you got the answer. you!

9    -  x²  <  0
-9               -9     to remove 9 deduct it from both sides
      -  x²  < -9
     ÷ -1      ÷-1    to remove the negative sign, divide both sides by -1
         x²  <  9
       √x²  < √9     to remove the exponent of 2, find the square root of both sides.
         x    < 3     Choice A.

To check:

9 -  x²  <  0
9 - 3²   < 0
9 - 9    < 0
0 < 0

The solution is  (b) {x | x > 3 or x < -3}

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