What is the solution of the fraction with numerator x squared plus x minus 6 and denominator x minus 7 is less than or equal to 0 ?

Factor the numerator: x² + x − 6 = (x + 3)(x − 2). The critical values are −3 and 2, where the fraction is zero, and 7, where it is undefined. Checking the intervals shows the fraction is nonpositive for x ≤ −3 and for 2 ≤ x < 7. This matches choice B: x ≤ −3 or 2 ≤ x < 7.

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