Tuesday

September 2, 2014

September 2, 2014

Posted by **brad** on Sunday, December 2, 2012 at 4:24pm.

(x-3)^2/(x^2-4)is greater than or equal to 0.

- math -
**Reiny**, Sunday, December 2, 2012 at 4:42pmsketch y = (x-3)^2 /((x-2)(x+2) )

your solution will be all the x's when the graph is above the x-axis

I can see it there is a zero at x = 3

and there are 2 vertical asymptotes at

x = 2 , and x = -2

How about thinking about this intuitively

the numerator is always ≥ 0, since we squared something

Also we can see that x^2 - 4 is negative for values of x between -2 and 2, and x cannot be +2 or -2

so it looks like the expression is above the x-axis for x > 2 OR x < -2

- math -
**brad**, Sunday, December 2, 2012 at 4:50pmhow do you write that in interval notation?

**Answer this Question**

**Related Questions**

alegbra II - 14. Solve the inquality -3(r-11) + 15 equal or greater than 9. 15....

math - solve the following inequality /3x + 12/ >/ 21 PS >/ means greater ...

math - ms.pritchard wrote the following inequality on the board 5.6 with the ...

math/algebra - solve the compound inequality. 2x-7 / 6 is less than or equal to...

math - solv the inequality: 1. 7-3x [is less than or equal to] 22 ---> x [is ...

math - solve the inequality 3(2x+4)greater than and equal to 2x

algebra - To solve the inequality -1/2 k is greater then or equal to -5, Danny ...

Math - Solve the inequality: Absolute Value of X+5 is greater than or equal to 1...

algebra - use the inequality -4t-8 is less than or equal to 12 a. t is greater ...

Algebra - I have a problem, which requires I solve the following system of ...