Test a value to see if it satisfies the original inequality.
Step 1
We will start by solving the related equation.
- 6 = x^2+4x ⇔ - 1x^2+( - 4)x+( - 6)=0
We see above that a= - 1, b= - 4, and c= - 6. Let's substitute these values into the Quadratic Formula to solve the equation.
We have found a negative discriminant, - 8. Therefore, the related equation has no real solutions.
Step 2
Since the related equation does not have any real solution, we do not have any point to plot on a number line.We have two cases: either all x-values satisfy the original inequalty or no x-value satisfies it.
Step 3
Finally, we must test a value to see if it satisfies the original inequality. Testing one value will help us to determine the solution set. Let's choose a value. For simplicity, we will choose x=0.
