Solve the inequality
posted by Audrey on .
Solve the inequality. Write the solution in interval notation.
(x+14)/(x8)≥ 1

if x8> 0 , then
x+14 ≥ x8
14 ≥ 8 , so true for all x's
if x8 < 0
x+14 ≤ x8
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