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Solve the rational inequality (a-5)/(a+2) < -1.

This is what I got so far:

a-5/a+2 = -1

a-5= -a-2

0= -2a+3

subtract 3 from both sides:

-3=-2a

Divide by -2

3/2=a

I know that the answer is (-2, 3/2), but I'm not sure where the -2 in the answer comes from. Thanks!

This is what I got so far:

a-5/a+2 = -1

a-5= -a-2

0= -2a+3

subtract 3 from both sides:

-3=-2a

Divide by -2

3/2=a

I know that the answer is (-2, 3/2), but I'm not sure where the -2 in the answer comes from. Thanks!

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