To solve the inequality, we first need to expand the right side of the inequality:
(x + 3)(x + 1) = x^2 + x + 3x + 3 = x^2 + 4x + 3
Now, our inequality becomes:
x^2 + 4x > x^2 + 4x + 3
Next, we can simplify the inequality:
x^2 + 4x > x^2 + 4x + 3
Subtract x^2 and 4x from both sides:
0 > 3
Since this inequality is always false (0 is not greater than 3), the solution to the original inequality x^2 + 4x > (x + 3)(x + 1) is all real numbers.
To solve the inequality, we first need to expand the right side of the inequality:
(x + 3)(x + 1) = x^2 + x + 3x + 3 = x^2 + 4x + 3
Now, our inequality becomes:
x^2 + 4x > x^2 + 4x + 3
Next, we can simplify the inequality:
x^2 + 4x > x^2 + 4x + 3
Subtract x^2 and 4x from both sides:
0 > 3
Since this inequality is always false (0 is not greater than 3), the solution to the original inequality x^2 + 4x > (x + 3)(x + 1) is all real numbers.