Question

Решите неравенство: (1/4)^2.5-0.5>16

Answer 1

(1/4)^2>16
1/16>16
неравенство дано с ошибкой невозможно такое

Answer 2

To solve the inequality, let's first simplify the left-hand side:

(1/4)^2.5 - 0.5 > 16

To simplify (1/4)^2.5, we need to calculate the value of (1/4) raised to the power of 2.5:

(1/4)^2.5 = (1/4)^(5/2) = √(1/4)^5 = √(1/1024) = 1/√1024 = 1/32

Now, substitute this value back into the original inequality:

1/32 - 0.5 > 16

Next, combine the terms on the left side:

1/32 - 0.5 = 1/32 - 16/32 = -15/32

So, the inequality becomes:

-15/32 > 16

Now, let's solve for the value of -15/32:

-15/32 ≈ -0.46875

Now, the inequality becomes:

-0.46875 > 16

However, this statement is not true. In fact, there is no real number that satisfies this inequality. So, the solution to the original inequality is an empty set, meaning there are no solutions.