Question

Solve the inequality algebraically.
(x+4)/(x-2) < 1

Answer 1

\[(x+4) / (x-2) \le 1\]

Answer 2

u have
\[ \large \frac{x+4}{x-2}\leq1 \]
then
\[ \large \frac{x+4}{x-2}-1\leq0 \]
do u get this?

Answer 3

Yep, I do. I don't know what to do afterwards.

Answer 4

now do the substraction of what is on the left
tell me what u get

Answer 5

6 / x-2

Answer 6

great
now 6>0 right?

Answer 7

Yup.

Answer 8

so for the fraction to be \(\leq0\)
then x-2 has to be positive or negative?

Answer 9

so?