Question

X * | x+ 5 | + 6 > 0

Answer 1

Всё довольно просто. Забей это в калькулятор123

Вот ответ

Answer 2

To solve the inequality $X \cdot |x + 5| + 6 > 0$, we need to consider two cases: one when $x + 5$ is positive (i.e., $x + 5 > 0$) and one when $x + 5$ is negative (i.e., $x + 5 < 0$).

Case 1: $x + 5 > 0$

When $x + 5 > 0$, the absolute value $|x + 5|$ is simply equal to $x + 5$. So the inequality becomes:

$X \cdot (x + 5) + 6 > 0$

Now, let's solve for $x$:

$X \cdot x + 5X + 6 > 0$

$X \cdot x > -5X - 6$

$x > \frac{-5X - 6}{X}$

Remember, since $X$ is a variable, the sign of the inequality will change depending on whether $X$ is positive, negative, or zero.

Case 2: $x + 5 < 0$

When $x + 5 < 0$, the absolute value $|x + 5|$ becomes $-(x + 5)$. So the inequality becomes:

$X \cdot -(x + 5) + 6 > 0$

Now, let's solve for $x$:

$-X \cdot x - 5X + 6 > 0$

$-X \cdot x > 5X - 6$

$x < \frac{5X - 6}{-X}$

Again, the sign of the inequality will change depending on the value of $X$.

To summarize, the solution to the inequality $X \cdot |x + 5| + 6 > 0$ is:

1. When $X > 0$: $x > \frac{-5X - 6}{X}$
2. When $X < 0$: $x < \frac{5X - 6}{-X}$

Please note that the expression for $X$ in the solutions should be taken into account when interpreting the final solution for $x$. The domain of $X$ might also need to be considered in specific cases.