Asked by lan
solve the inequality. Express the solution using interval notation and graph the solution set on the real number line
x-4/x^2-4 greater or equal to O
x-4/x^2-4 greater or equal to O
Answers
Answered by
Steve
(x-4)/(x^2-4) >= 0
Either both top and bottom are positive, or both negative
x-4 > 0 if x > 4
x^2-4 > 0 if |x| > 2
only x > 4 satisfies both requirements
x-4 < 0 if x < 4
x^2 - 4 < 0 if |x| < 2
So, -2 < x < 2
Solution set: (-2,2)U(4,oo)
Either both top and bottom are positive, or both negative
x-4 > 0 if x > 4
x^2-4 > 0 if |x| > 2
only x > 4 satisfies both requirements
x-4 < 0 if x < 4
x^2 - 4 < 0 if |x| < 2
So, -2 < x < 2
Solution set: (-2,2)U(4,oo)