To solve the nonlinear inequality

x + 2 / x -4 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+2	? +	? +	? +
Sign of x4	? +	? +	? +
Sign of (x+2)/(x4)	? +	? +	? +

Do any of the endpoints fail to satisfy the inequality? (yes or no)

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.)