Question

(x+6)/(2x-7) is greater or equal to 0. it's asking me to give the solution set of the inequality in interval notation.

Answer 1

Can you find the x value at which the numerator would be zero?
Can you find the x value at which the denom. would be zero?

Plot these two points on a number line and create 3 intervals based upon these two points. What are your intervals?

Answer 2

numerator would be 6. denominator would be 3.5 to make them both zero

Answer 3

@zepdrix

Answer 4

7/2 rather

Answer 5

"numerator would be 6:" Then the numerator would be 12. Not quite. Think: At which x value will the numerator be 0?

Answer 6

negative 6, sorry.

Answer 7

So you'd want to state, "the numerator would be zero at y=-6." Yes.

Mark those two points on a number line and then create 3 intervals based upon those 2 points.