Tuesday

March 31, 2015

March 31, 2015

Posted by **ddd** on Friday, December 2, 2011 at 9:11pm.

4-x/x-6<=0

- algebra -
**MathMate**, Friday, December 2, 2011 at 9:46pmf(x)=(4-x)/(x-6)

First make a sketch of the equation (equality).

As x -> ± &infin, f(x) approaches -1.

There is also a vertical asymptote at x=6, approaching +∞ at 6- and -∞ at 6+. Therefore the function is discontinuous at that point.

The one zero is at x=4, where the function crosses from negative to positive.

If you have the sketch in front of you, it would be easy to find the places where the function is negative (≤0):

from -∞ to 4, and from 6+ to ∞.

If you need help putting that in interval notation, please post.

**Answer this Question**

**Related Questions**

Algebra - Solve and express in interval notation Solve: |5 – 8x| > 11 and ...

Solve Inequality - Solve the inequality. Express your solution using interval ...

Algebra - Please solve for the interval notation corresponding to the set ...

math - Please help. Hi, I am having some problems with inequalities. It is ...

algebra - i forgot to post these! f(x)=9x+4 and listed in interval notation also...

math-inequalities - Hi, I am having some problems with inequalities. It is ...

Algebra - Solve 3x +1 < 5 or 3x +1 > 4 By saying "solve," is it asking for...

Math Help Please - Please show me how to put this in interval notation. Thanks! ...

algebra - Solve x-9/x^2-4 < 0 and write interval notation

Algebra 2 - Solve and write in interval notation: -3 ¡Ü (x − 4) / 2 < 4...