Question

|x + 3| < 4 pzpzpzpzpzpzpzpzpz

Answer 1

Ответ:

Объяснение:

|x + 3| < 4

-4 < x + 3 < 4               | - 3

-4 - 3 < x < 4 - 3

-7 < x < 1

О т в е т : x ∈ (-7; 1)

Answer 2

It appears that you have a mathematical inequality involving absolute value:

|x + 3| < 4

To solve this inequality, you can consider two cases: one where the expression inside the absolute value is positive, and another where it is negative.

Case 1: x + 3 is positive In this case, you don't need to change the absolute value, so the inequality becomes:

x + 3 < 4

Now, subtract 3 from both sides of the inequality:

x < 4 - 3 x < 1

So, for this case, the solution is x < 1.

Case 2: x + 3 is negative When x + 3 is negative, you need to negate the absolute value to make it positive:

-(x + 3) < 4

Now, multiply both sides by -1, which reverses the inequality:

x + 3 > -4

Next, subtract 3 from both sides:

x > -4 - 3 x > -7

So, for this case, the solution is x > -7.

Now, you have two separate solutions:

1. x < 1
2. x > -7

To express the combined solution, you can use the "and" operator (∩) since both conditions must be satisfied:

-7 < x < 1

This is the solution to the inequality |x + 3| < 4.