Question

Найдите все натуральные значения х при которых верно неравенство 4/9<х/36 <11/12

Answer 1

Finding the Natural Values of x in the Inequality 4/9 < x/36 < 11/12

To find the natural values of x that satisfy the inequality 4/9 < x/36 < 11/12, we can solve it step by step.

First, let's simplify the inequality by multiplying all the terms by 36 to eliminate the denominators:

(36 * 4/9) < (36 * x/36) < (36 * 11/12)

Simplifying further:

16 < x < 33

Therefore, the natural values of x that satisfy the inequality 4/9 < x/36 < 11/12 are all the natural numbers between 16 and 33, inclusive.

Please note that the inequality is strict, meaning that x cannot be equal to 16 or 33.