Question

1/4 (3+8и) больше равно 6.25+и​

Answer 1

0,25(3+8х)》(6,25+х)

0,75+2х》6,25+х

х》5,5

х€[5,5; +бесконечность)

Answer 2

To solve the inequality, we need to find the value of и that satisfies the given condition. Let's proceed with the calculation:

1/4 (3 + 8и) ≥ 6.25 + и

First, distribute the 1/4:

(1/4) * 3 + (1/4) * 8и ≥ 6.25 + и

Simplify:

3/4 + 2и ≥ 6.25 + и

Now, let's isolate the term with и on one side of the inequality. To do this, we'll move the и terms to the left side and the constants to the right side:

2и - и ≥ 6.25 - 3/4

Combine the и terms on the left side:

(2 - 1)и ≥ 6.25 - 3/4

Simplify:

и ≥ 6.25 - 3/4

Now, let's find the right side's value:

6.25 - 3/4 = 6.25 - 0.75 = 5.50

So, the inequality becomes:

и ≥ 5.50

In conclusion, и (the variable) must be greater than or equal to 5.50 to satisfy the inequality.