Posted by **Audrey** on Thursday, May 2, 2013 at 5:00pm.

Solve the inequality. Write the solution in interval notation.

(x+14)/(x-8)≥ 1

- Solve the inequality -
**Reiny**, Thursday, May 2, 2013 at 5:24pm
if x-8> 0 , then

x+14 ≥ x-8

14 ≥ -8 , so true for all x's

if x-8 < 0

x+14 ≤ x-8

14 ≤ -8 , no way!

so true for x > 8

check:

take a value > 8

e.g. x = 10

statement becomes

24/2 ≥ 1 , true

take a value < 8

e.g

x = 1

statement becomes

15/-7≥1 , false

how about x = -20

statement becomes

-6/-28 ≥ 1 or 3/14 ≥ 1 false

solution x > 8

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