SOLUTION: solve the inequality -18 / (6x-42) >0 so neg 18 over the equation 6x-42 is greater than zero. then it asks me to pick from four choices. a, is (-3) and (infinity) b. is

Question 43825: solve the inequality -18 / (6x-42) >0
so neg 18 over the equation 6x-42 is greater than zero.
then it asks me to pick from four choices.
a, is (-3) and (infinity)
b. is (7) and (infinity)
c. is ((-infinity,) and (-3)
d. is (neg infinity) and pos (7)

i know that 7 doesn't work because (zero) is not suposed to be a denominator.
which leaves choices a, c. and where we are trying to get above zero
negative infinity to me is the logical choice so that the fraction is neg over neg (a positive) and therefore regardless of how small it is still bigger than zero. so with out doing any math, i get that c. is the correct answer. (i think).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the inequality -18 / (6x-42) >0
Since the numerator is negative, the fraction can only
be positive when the denominator is negative.
Solve 6x-42<0
6x<42
x<7
The inequality is true when x<7.
Cheers,
Stan H.
RELATED QUESTIONS
Solve the following inequality and express the solution as an interval:... (answered by jim_thompson5910)

Rewrite the equation iin slope intercept form: 6x+7y-42=0 y=mx+b... so is it... (answered by jim_thompson5910)

solve the inequality -18 divided by 6x-42>0. This one I'm having to much trouble with in (answered by josmiceli)

x>0 y>0. 3x+2y>18 6x+7y<42 What is the value of 3x+3y Thank... (answered by ikleyn)

Could you help me with a formulas to solve the following problems: -4x+2 =42 3+2x+6x=3 (answered by tutorcecilia)

I am stuck on this problem, and I don't think it is right. 15-(-3)(2x-9)=60... (answered by checkley71,solver91311)

The question is: Use the quadratic formula to solve for the roots 9x�-6x-7=0... (answered by vleith)

Can u please help me solve this ..... Using the following system of inequalities find the (answered by Edwin McCravy)

WHAT IS THE ANSWER TO: 3x to the neg.9 exponent times 5x to the 5th exponent over 18x... (answered by Edwin McCravy)