SOLUTION: Solve the following inequalities for x and express the solutions as an interval. a) {{{ x^2-x>=2}}} b) {{{(x+3)/(x-4)<=0}}}

Algebra ->  Inequalities -> SOLUTION: Solve the following inequalities for x and express the solutions as an interval. a) {{{ x^2-x>=2}}} b) {{{(x+3)/(x-4)<=0}}}      Log On


   

Question 625268: Solve the following inequalities for x and express the solutions as an interval.
a) +x%5E2-x%3E=2
b) %28x%2B3%29%2F%28x-4%29%3C=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following inequalities for x and express the solutions as an interval.
a) x^2-x>=2
x^2-x-2≥0
(x-2)(x+1)≥0
number line:
<....+...-1...-.....2....+.....>
solution:
(-∞,-1) U (2,∞)
..
b) (x+3)/(x-4)≤0
number line:
<....+...-3...-.....4....+.....>
solution:
[-3,4]