The function r is given by r(x) = (x-3)/(x+5). What are all solutions to r(x) 0?

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The function r is given by r(x) = (x-3)/(x+5). What are all solutions to r(x) > 0? A. -5 < x < 3 B. x > 3 only C. x > -3/5 D. x < -5 and x > 3

SnapAndSolve AI · Accepted Answer

Solution: To find where r(x) = (x-3)/(x+5) > 0, we need to determine where the numerator and denominator have the same sign. The numerator (x-3) is positive when x > 3. The denominator (x+5) is positive when x > -5. Thus, r(x) > 0 when both are positive: x > 3. Additionally, r(x) is negative when both are negative, which occurs when x < -5.Therefore, the solution is D. x < -5 and x > 3.

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The function r is given by r(x) = (x-3)/(x+5). What are all solutions to r(x) > 0?

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