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

solve the following inequality.

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

- math -
**Reiny**, Sunday, December 2, 2012 at 4:42pm
sketch 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 4:50pm
how 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 ...
- algebra 2 - 1. 5x+2>3x+10 =x>4 2. 8+2x< or equal too 6x-20 x> or ...
- Math - Which is equivalent to the inequality shown below? z/2 (less than equal ...
- 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 ...
- Algebra 2 Answer Check - Solve each equation. 1. (|3x -4|)/(-5) = 6 A: no ...
- algebra - To solve the inequality -1/2 k is greater then or equal to -5, Danny ...
- math - solve the inequality 3(2x+4)greater than and equal to 2x

More Related Questions