Question

А = {х ∈N/ 3х - 7 ≤ х + 5}

Answer 1

Ответ:

А = { 1, 2, 3, 4, 5, 6 }.

Пошаговое объяснение:

Решим неравенство:

3х - 7 ≤ х + 5

3х - х ≤ 7 + 5

2х ≤ 12

х ≤ 12 : 2

х ≤ 6

2. Перечислим натуральные решения данного неравенства:

1, 2, 3, 4, 5, 6.

Это и есть элементы множества А.

Answer 2

The set A can be defined as follows:

A = {x ∈ N | 3x - 7 ≤ x + 5}

Let's simplify and solve the inequality:

3x - 7 ≤ x + 5

Subtract x from both sides:

2x - 7 ≤ 5

Add 7 to both sides:

2x ≤ 12

Divide both sides by 2:

x ≤ 6

Therefore, the set A consists of all natural numbers (N) that are less than or equal to 6.

A = {1, 2, 3, 4, 5, 6}