What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?

2 answers:

3 0

1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

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

Answer: option B.

expeople1 [14]3 years ago

3 0

Answer:

B. x=-6 and x=2

Step-by-step explanation:

Which shows all the critical points for the inequality?

x = 1, and x = 2

x = –6 and x = 2

x = –4 and x = 2

x = 2

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