Question

1) |x| = 3; 2) |x| = 4; 3) у = 5; 4) у > 2.​

Answer 1

Пошаговое объяснение:

1) x1=3 ; x2= -3

2) x1=4 ; x2= -4

3) y = 5

4) y>2 ; y (2; плюс бесконечность)

Answer 2

It seems like you have provided four statements involving absolute value and inequality. Let's break them down one by one:

1. |x| = 3 This equation states that the absolute value of variable x is equal to 3. To solve for x, we can consider two cases: a) If x is positive, then |x| = x. Therefore, x = 3. b) If x is negative, then |x| = -x. Therefore, -x = 3, and solving for x gives x = -3.

So, the solutions to the equation |x| = 3 are x = 3 and x = -3.

2. |x| = 4 Similar to the previous equation, this equation states that the absolute value of variable x is equal to 4. Solving for x in a similar manner, we get: a) If x is positive, then x = 4. b) If x is negative, then -x = 4, which gives x = -4.

The solutions to the equation |x| = 4 are x = 4 and x = -4.

3. y = 5 This equation simply states that the variable y is equal to 5. There is no absolute value or inequality involved, so the solution is y = 5.

4. y > 2 This inequality states that the variable y is greater than 2. The solution set for this inequality includes all values of y that are greater than 2, excluding 2 itself. In interval notation, it can be represented as (2, +∞), where the parentheses indicate that 2 is not included in the solution set and the infinity symbol represents all values greater than 2.

In summary:

1. |x| = 3 has solutions x = 3 and x = -3.
2. |x| = 4 has solutions x = 4 and x = -4.
3. y = 5 has a solution y = 5.
4. y > 2 has a solution set (2, +∞).