Question

How to solve the values for x?

`(-2x-15)/(3+x) > 12`

Answer 1

Remove the denominator from the fraction, isolate x and solve the inequality ( remember that dividing or multiplying by a -1 will reverse the inequality sign)

Explanation:

`( -2x -15) xx (3+x) /(3+x) > 12 xx ( 3+x)`

`(3+ x)/(3+x) = 1` so this removes the denominator leaving

# -2x -15 > 12 xx ( 3 + x) multiplying across the parenthesis gives

# -2x - 15 > 36 + 12 x add 2x to both sides gives

`-2x + 2x - 15 > 36 + 12x + 2x` giving

`-15 > 36 + 14x` subtract 36 from both sides

`-15 - 36 > 36-36 +14x` giving

`- 51 > 14 x` divide both sides by 14 gives

`-51/14 > 14 x/14` so

`x < - 51/14` this fraction can not be reduced.