Question

Есть ли решение неравенства | x+ 1 |+ 4 > 3?Ответ:​

Answer 1

Ответ:

Ответ да

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Answer 2

Solution to the Inequality |x + 1| > 4

To find the solution to the inequality |x + 1| > 4, we need to consider two cases: when x + 1 is positive and when x + 1 is negative.

Case 1: x + 1 > 0

When x + 1 is positive, the inequality |x + 1| > 4 becomes x + 1 > 4. Solving this inequality, we subtract 1 from both sides to isolate x:

x + 1 > 4 x > 4 - 1 x > 3

Case 2: x + 1 < 0

When x + 1 is negative, the inequality |x + 1| > 4 becomes -(x + 1) > 4. Solving this inequality, we multiply both sides by -1 and reverse the inequality sign:

-(x + 1) > 4 -x - 1 > 4 -x > 4 + 1 -x > 5

To solve for x, we multiply both sides by -1 and reverse the inequality sign again:

x < -5

Final Solution

Combining the solutions from both cases, we have:

x > 3 or x < -5

Therefore, the solution to the inequality |x + 1| > 4 is x > 3 or x < -5.