1) 2x – 3 ≤ 7
2x ≤ 10
x ≤ 5
x ∈ (-∞; 5]
2) |x – 5| = 4
x – 5 = 4
x = 9
x – 5 = -4
x = 1
3) |2x – 1| ≤ 3
2x – 1 ≤ 3
2x ≤ 4
x ≤ 2
2x – 1 ≥ -3
2x ≥ -2
x ≥ -1
x ∈ [-1; 2]
4) |4x – 5| > 4
4x – 5 > 4
4x > 9
x > 9/4
x > 2,25
4x – 5 < -4
4x < 1
x < 1/4
x < 0,25
x ∈ (-∞; 0,25) ∪ (2,25; +∞)
5) √(2x – 3) < 7
ԹԱԲ՝
2x – 3 ≥ 0
2x ≥ 3
x ≥ 3/2
x ≥ 1,5
2x – 3 < 49
2x < 52
x < 26
x ∈ [1,5; 26)
6) (x – 3)(x + 2) > 0
(x – 3)(x + 2) = 0
x – 3 = 0
x = 3
x + 2 = 0
x = -2
x ∈ (-∞; -2) ∪ (3; +∞)
7) x2 – 4x + 3 ≤ 0
x2 – 4x + 3 = 0
x1 = 1
x2 = 3
x ∈ [1; 3]
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