SOLUTION: Tell whether each statment is true or false. Then write the converse and tell whether it is true or false. If {{{a^2>9}}},then {{{a>3}}}. Note: I understand what the converse o

Algebra ->  Geometry-proofs -> SOLUTION: Tell whether each statment is true or false. Then write the converse and tell whether it is true or false. If {{{a^2>9}}},then {{{a>3}}}. Note: I understand what the converse o      Log On


   

Question 210553This question is from textbook
: Tell whether each statment is true or false. Then write the converse and tell whether it is true or false.
If a%5E2%3E9,then a%3E3.
Note: I understand what the converse of this statement is, and I know the answer is false, but I cont comprehend why this converse would be false. This question is from textbook

Answer by engchunh(1) About Me  (Show Source):
You can put this solution on YOUR website!
Okay if a%5E2%3E9
then a%5E2-9%3E0
then (a-3)(a+3) > 0
therefore a<-3 AND a>3
Therefore a>3 is NOT the only solution the other solution is a<-3.
CHUN