Решите неравенство |1-2x|>7; |3x+5|>20. Created by AlInAgAfGaF. algebra-ru

| 1 - 2x| > 71 - 2 x> 7, 1 - 2x ≥ 0- ( 1 - 2x) > 7, 1 - 2x < 0x < - 3, x ≤ x > 4, x > x∈ ( - ∞, - 3) ∪ ( 4, + ∞)| 3x + 5| > 203x + 5 > 20, 3x + 5 ≥ 0- ( 3x + 5) > 20, 3x + 5 < 0x > 5, x ≥ x < , x < x∈ ( - ∞, ) ∪ ( 5, + ∞)

Решите неравенство |1-2x|>7; |3x+5|>20...

AlInAgAfGaF @AlInAgAfGaF

July 2022 1 4 Report

Решите неравенство
|1-2x|>7;
|3x+5|>20

Answers & Comments

mmb1

Verified answer

| 1 - 2x| > 7

1 - 2 x> 7, 1 - 2x ≥ 0

- ( 1 - 2x) > 7, 1 - 2x < 0

x < - 3, x ≤ $\frac{1}{2}$

x > 4, x > $\frac{1}{2}$

x∈ ( - ∞, - 3) ∪ ( 4, + ∞)

| 3x + 5| > 20

3x + 5 > 20, 3x + 5 ≥ 0

- ( 3x + 5) > 20, 3x + 5 < 0

x > 5, x ≥ $-\frac{5}{3}$

x < $-\frac{25}{3}$ , x < $-\frac{5}{3}$

x∈ ( - ∞, $-\frac{25}{3}$ ) ∪ ( 5, + ∞)

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