Question

What are the critical points for the inequality 2x+5/x-2> or equal to x-1/x-2

Answer 1

the answer is 2 and -6

Explanation:

Answer 2

x = 2 and x = - 6.

Explanation:

A critical point is when the denominator become equal to zero.

So we will simplify the numerator to find an expression where p(x) equals zero you have other(s) critical point(s).

Multiply both terms in the numerator to get:

`(2x+5)/(x-2) =(x-1)/(x-2)`

for
`x \\eq  2 => 2x + 5 = x - 1`

`2x - x = - 1 - 5`

`x = - 6`

Therefore, the two critical points are x = 2 and x = - 6.