Question

Зная,что a>b+9 и b+2>8 докажите,что a>15

Answer 1

В+2>8
в>6
а>в+9
а>6+9
а>15, что и требовалось доказать
Ответ: доказано

Answer 2

To prove that a > 15 given the conditions a > b + 9 and b + 2 > 8, we can use a combination of algebraic manipulations and logical reasoning.

Given:

1. a > b + 9
2. b + 2 > 8

We need to show that a > 15.

Let's start by working with inequality (2) b + 2 > 8:

Subtract 2 from both sides: b + 2 - 2 > 8 - 2 b > 6

Now we have the condition b > 6.

Next, let's use this condition in inequality (1) a > b + 9:

Since b > 6, we can replace b with 6 in the inequality: a > 6 + 9 a > 15

Therefore, we have proved that a > 15 based on the given conditions a > b + 9 and b + 2 > 8.