To solve this inequality, we need to expand and simplify both sides.
Expanding and simplifying the left side:(x + 7)^2 = x^2 + 14x + 49
Expanding and simplifying the right side:x(x + 14) = x^2 + 14x
Therefore, the inequality becomes:x^2 + 14x + 49 > x^2 + 14x
Subtracting x^2 + 14x from both sides:49 > 0
Since 49 is always greater than 0, the inequality holds true for all values of x. Therefore, the solution to the inequality is all real numbers.
To solve this inequality, we need to expand and simplify both sides.
Expanding and simplifying the left side:
(x + 7)^2 = x^2 + 14x + 49
Expanding and simplifying the right side:
x(x + 14) = x^2 + 14x
Therefore, the inequality becomes:
x^2 + 14x + 49 > x^2 + 14x
Subtracting x^2 + 14x from both sides:
49 > 0
Since 49 is always greater than 0, the inequality holds true for all values of x. Therefore, the solution to the inequality is all real numbers.