Question

1/64<4х<16 решить неравенство

Answer 1

Вот....................

Answer 2

To solve the inequality $\frac{1}{64} < 4x < 16$, we need to find the values of $x$ that satisfy the inequality. Let's break it down into two separate inequalities:

1. $\frac{1}{64} < 4x$
2. $4x < 16$

Step 1: Solve the first inequality.

$\frac{1}{64} < 4x$

To isolate $x$, divide both sides of the inequality by 4:

$\frac{1}{64 \times 4} < x$

Simplify:

$\frac{1}{256} < x$

Step 2: Solve the second inequality.

$4x < 16$

To isolate $x$, divide both sides of the inequality by 4:

$x < \frac{16}{4}$

Simplify:

$x < 4$

Now, we have the solutions to the two inequalities:

1. $\frac{1}{256} < x$
2. $x < 4$

Since both conditions must be met, the final solution for $x$ is:

$\frac{1}{256} < x < 4$