Chapter 3.5, Problem 18AYU

$x^2\text{ + 2}x\text{ + 4 > 0}$

To determine

To find: The solution of the inequality $x^2+2x+4>0$.

Answer to Problem 18AYU

Solution:

No real solution set

Explanation of Solution

Given:

The inequality is $x^2+2x+4>0$

Calculation:

$x^2+2x+4>0$

Since the discriminant value is:

$b^2-4ac={\left(2\right)}^2-4\left(1\right)\left(4\right)=4-16=-12<0$

therefore, the given inequality has no real solutions.