Kate H.

asked • 10/09/22

Solve the inequality by factoring, precalc

Solve the inequality and use interval notation. I really need the explanation and not just the answer. Thank you.

(x(x-5))/(x^2-3x-28) <=0


Brenda D.

tutor
First you can set your fraction equal to zero, since the conditions say less than or equal to 0. Multiply both sides by your denominator, then solve for x. Just to check things, you also need to factor the denominator with numbers that multiply to 28 and add to -3. These factors will also define asymptotes, closed and open areas for you. You will see the effect of factoring if you graph your inequality. Since you have a fraction, the denominator cannot be zero, keep this in mind so that you can compare the values that you get for x. The numerator of your fraction is already in lowest terms. Intervals are always expressed as lowest end to highest you need to review the enclosures to make sure you are using them correctly. You can graph your inequality at Desmos.com
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10/09/22

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Richard C. answered • 10/09/22

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