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To solve the nonlinear inequality x +6 / x-8 0 we first observe that the numbers_____(smaller value) and______(larger value) are zeros of the numerator and

To solve the nonlinear inequality

x+6 / x-8 0

we first observe that the numbers_____(smaller value) and______(larger value) are zeros of the numerator and denominator. These numbers divide the real line into three intervals. Complete the table.

Interval

,

,

,

Sign of

x+6

Sign of

x8

Sign of

(x+6)/(x8)

Do any of the endpoints fail to satisfy the inequality?

If so, which one(s)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Find the solution of the inequality. (Enter your answer using interval notation.)

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