Question

|x+3|>2 |x-7|>0 |x-4|>3 решите

Answer 1

Ответ в файле.....................

Answer 2

X=7 лекготня 7+3=10
10>2

Answer 3

|x+3| > 2 This inequality means that the absolute value of (x+3) is greater than 2. We can solve it by breaking it into two separate inequalities: 1) x+3 > 2 2) x+3 < -2

Solving the first inequality: x+3 > 2 x > 2-3 x > -1

Solving the second inequality: x+3 < -2 x < -2-3 x < -5

So the solution to |x+3| > 2 is -5 < x < -1.

|x-7| > 0 This inequality means that the absolute value of (x-7) is greater than 0, which is always true. So the solution to this inequality is all real numbers.

|x-4| > 3 This inequality means that the absolute value of (x-4) is greater than 3. We can solve it by breaking it into two separate inequalities: 1) x-4 > 3 2) x-4 < -3

Solving the first inequality: x-4 > 3 x > 3+4 x > 7

Solving the second inequality: x-4 < -3 x < -3+4 x < 1

So the solution to |x-4| > 3 is x < 1 or x > 7.

Overall, the solution to the given inequalities is -5 < x < -1 and x < 1 or x > 7.