SOLUTION: Solve the inequality x^ 2 – 7x < - 10 . Write your answer using interval notation.

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Question 1115326: Solve the inequality x^ 2 – 7x < - 10 . Write your answer using interval notation.

Found 2 solutions by arunav_11, ikleyn:
Answer by arunav_11(1) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-7x+10<0
(x-2)(x-5)<0
Now for the above equation to be true x-2 and x-5 should
be of opposite signs simultaneously.
Now when x<2, then both factors are negative therefore the whole equation is positive.
Therefore it is not a part of the solution.
When 5>x>2 (x-2)>0 and (x-5)<0
therefore the above equation is negative 5 When x>5 both
the factors are
positive
therefore it is
not a part of the solution.
Hence the solution is
5 x=(2,5).

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct answer is  2 < x < 5,   or,  in the interval notation,  the set  (2,5).