SOLUTION: Solve the following inequality. x2 - 5x ≥ -6 A. [2, 3] B. (-∞, 2] or [3, ∞) C. [3, ∞) D. (-∞, 2]

Algebra ->  Inequalities -> SOLUTION: Solve the following inequality. x2 - 5x ≥ -6 A. [2, 3] B. (-∞, 2] or [3, ∞) C. [3, ∞) D. (-∞, 2]       Log On


   

Question 444857: Solve the following inequality.
x2 - 5x ≥ -6
A. [2, 3]
B. (-∞, 2] or [3, ∞)
C. [3, ∞)
D. (-∞, 2]


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2+-+5x+%26%238805%3B+-6+....factor
x%5E2+-+5x%2B6+%26%238805%3B+0+
x%5E2+-+2x-3x+%2B6+%26%238805%3B+0+
%28x%5E2+-+2x%29-%283x+-6%29+%26%238805%3B+0+
x%28x+-+2%29-3%28x+-2%29+%26%238805%3B+0+
%28x-3%29%28x+-2%29+%26%238805%3B+0+
solutions:
%28x-3%29+%26%238805%3B+0+...=>x+%26%238805%3B+3
or
%28x-2%29+%3C=+0+...=>x+%3C=+2

so, the answer is: B. (-∞, 2] or [3, ∞)