Question

1/4 ( 3+ 8u ) ≥ 6,25 + uсрочно​

Answer 1

Ответ:

Пошаговое объяснение:

1/4(3+8u)≥6,25+4

3+8u≥25+4u

8u-4u≥25-3

4u≥22

u≥11/2

Answer 2

To solve the inequality, let's simplify the expression step by step:

1/4(3 + 8u) ≥ 6.25 + ucрочно

First, distribute the 1/4 to the terms inside the parentheses:

(1/4)(3) + (1/4)(8u) ≥ 6.25 + ucрочно

Simplify:

3/4 + 2u ≥ 6.25 + ucрочно

Next, let's isolate the terms with u on one side of the inequality. We'll subtract ucрочно from both sides and subtract 3/4 from both sides:

3/4 - ucрочно + 2u - ucрочно ≥ 6.25 - ucрочно

Simplify:

3/4 - 2ucрочно + 2u ≥ 6.25 - ucрочно

Now, let's group the terms with u together:

-2ucрочно + 2u ≥ 6.25 - ucрочно - 3/4

Next, we can factor out u from the terms with u:

u(-2cрочно + 2) ≥ 6.25 - ucрочно - 3/4

Now, we'll divide both sides of the inequality by (-2cрочно + 2) to solve for u. However, we need to be careful when dividing by a variable since we don't know its value. We'll consider two cases:

Case 1: -2cрочно + 2 > 0

If -2cрочно + 2 > 0, we can safely divide both sides by (-2cрочно + 2) without changing the direction of the inequality:

u ≥ (6.25 - ucрочно - 3/4) / (-2cрочно + 2)

Case 2: -2cрочно + 2 < 0

If -2cрочно + 2 < 0, we need to flip the direction of the inequality when dividing by (-2cрочно + 2):

u ≤ (6.25 - ucрочно - 3/4) / (-2cрочно + 2)

So the solution depends on the value of (-2cрочно + 2). If (-2cрочно + 2) is positive, then u is greater than or equal to the expression (6.25 - ucрочно - 3/4) divided by (-2cрочно + 2). If (-2cрочно + 2) is negative, then u is less than or equal to the same expression divided by (-2cрочно + 2).