SOLUTION: Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line. 1) x^2+4x-12>0

Algebra ->  Inequalities -> SOLUTION: Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line. 1) x^2+4x-12>0       Log On


   

Question 484276: Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line.
1) x^2+4x-12>0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B4x-12%3E0..replace 4x with 6x-2x

x%5E2%2B6x-2x-12%3E0

%28x%5E2%2B6x%29-%282x%2B12%29%3E0

x%28x%2B6%29-2%28x%2B6%29%3E0

%28x-2%29%28x%2B6%29%3E0

solutions
x-2%3E0.........x%3E2
x%2B6%3E0
x%3C-6

(-infinity,-6) U (2,infinity)

Solved by pluggable solver: Plot two numbers on number line
+number_line%28+500%2C+-9%2C+9%2C+-6%2C+2+%29+


draw this number line and one arrow (red) from -6 (excluding -6) to -infinity, and Other one (green) from 2 (excluding 2) to infinity