Solve the inequality for x, given that (4x - 16) / [(x - 3)(x - 9)] <

[agl89]

Homework Statement

Solve the inequality for x, given that (4x - 16) / [(x - 3)(x - 9)] < 0

Homework Equations

I can't think of any for this type of problem...

The Attempt at a Solution

(4x - 16) / [(x - 3)(x - 9)] < 0
4(x - 4) / [(x - 3)(x - 9)] < 0


I'm not sure where to go from here. I haven't worked one of these types of problems in awhile...

 

[berkeman]

Homework Statement

Solve the inequality for x, given that (4x - 16) / [(x - 3)(x - 9)] < 0

Homework Equations

I can't think of any for this type of problem...

The Attempt at a Solution

(4x - 16) / [(x - 3)(x - 9)] < 0
4(x - 4) / [(x - 3)(x - 9)] < 0


I'm not sure where to go from here. I haven't worked one of these types of problems in awhile...

Multiply both sides of the inequality by something, to get rid of the denominator...

 

[statdad]

Start by looking for the x values that make each individual factor 0: what do you know about how the sign of a rational expression behaves between locations where the expression is zero or undefined?