Question

|2x+3| <= 1 . Найти значения x

Answer 1

Ответ при положительном ответе - 0.5
а при отрицаткльном -2.5

Answer 2

To solve the inequality |2x + 3| ≤ 1, we can break it down into two separate inequalities and solve each one:

1. 2x + 3 ≤ 1
2. -(2x + 3) ≤ 1

Let's solve them step by step:

1. 2x + 3 ≤ 1 Subtract 3 from both sides: 2x ≤ 1 - 3 2x ≤ -2 Now, divide both sides by 2 (since 2 is positive and we don't need to reverse the inequality sign): x ≤ -1

2. -(2x + 3) ≤ 1 Distribute the negative sign: -2x - 3 ≤ 1 Add 3 to both sides: -2x ≤ 1 + 3 -2x ≤ 4 Now, divide both sides by -2 (since -2 is negative, we need to reverse the inequality sign): x ≥ -2

The solutions for the inequality |2x + 3| ≤ 1 are -1 ≤ x ≤ -2.