Question

Solve the inequality..please show step by step Solve the inequality..please show step by step @Mathematics

Answer 1

\[x^2-7 \over x^2-x-6\]<1

Answer 2

i got to that part so what would the answer be after i make a sign chart?

Answer 3

If you have to make a sign chart, then you need to have the right side = 0 so subtract 1 from both sides.

Answer 4

what would that look like?

Answer 5

x^2-7/(x^2-x-6) -1<0

Answer 6

Now write a common denominator

Answer 7

(x^2-7)/(x^2-x-6)-(x^2-x-6)/(x^2-x-6)<0
(x^2-7-x^2+x+6)/(x^2-x-6)<0

(x-1)/(x-3)(x+2)<0

Answer 8

Now make your sign chart

Answer 9

_______|_____________|_____________|_________
-2 1 3
(x-1) - - + +
(x-3) - - - +
(x+2) - + - +
Fraction - + + +
So we see that the solution is x <-2

Answer 10

ok cool thanks a bunch!!

Answer 11

yw