Which shows all the critical points for the inequality the fraction with numerator 2 x plus 5 and denominator x minus 2 is greater than or equal to the fraction with numerator x minus 1 and denominator x minus 2 ?

Subtract the right-hand side from the left; since the denominators match, the inequality becomes (x + 6)/(x − 2) ≥ 0. The critical points occur where the numerator is zero, x = −6, and where the denominator is zero, x = 2 (which is excluded from the domain). Thus the correct choice is A: x = −6 and x = 2.

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