Question

5/x<-2 решите неравенство

Answer 1

Объяснение:

при решении неравенств все переносим в левую часть, ищем общий знаменатель далее по фото( знаменатель не выбрасываем)

Answer 2

To solve the inequality $\frac{5}{x} < -2$, follow these steps:

Step 1: Handle the fraction To get rid of the fraction, multiply both sides of the inequality by $x$ (note that $x$ must be positive since multiplying by a negative number would reverse the inequality direction):

$x \cdot \frac{5}{x} < -2 \cdot x$

Simplify:

$5 < -2x$

Step 2: Isolate $x$ Now, isolate $x$ by moving all terms containing $x$ to one side of the inequality and constants to the other side:

$5 + 2x < 0$

Step 3: Solve for $x$ To solve for $x$, subtract 5 from both sides and then divide by 2 (remember to flip the inequality direction since we are dividing by a negative number):

$2x < -5$

$x < \frac{-5}{2}$

So, the solution to the inequality is $x < \frac{-5}{2}$ or $x$ is any real number less than $-\frac{5}{2}$.