110. Լուծեք անհավասարումը.
ա) x² – 3 > 0
x² – 3 = 0
x² – √3² = 0
(x – √3)(x + √3) = 0
x – √3 = 0 | x = √3
x + √3 = 0 | x = –√3
x∈ (–∞ ; –√3) ∪ (√3 ; +∞)
բ) x² – 5 < 0
x² – 5 = 0
x² – √5² = 0
(x – √5)(x + √5) = 0
x – √5 = 0 | x = √5
x + √5 = 0 | x = –√5
x∈ (–√5 ; √5)
գ) 2 – x² < 0
2 – x² = 0
√2² – x² = 0
(√2 – x)(√2 + x) = 0
√2 – x = 0 | x = √2
√2 + x = 0 | x = –√2
x∈ (–∞ ; –√2) ∪ (√2 ; +∞)
դ) 13 – x² > 0
13 – x² = 0
√13² – x² = 0
(√13 – x)(√13 + x) = 0
√13 – x = 0 | x = √13
√13 + x = 0 | x = –√13
x∈ (–∞ ; –√13) ∪ (√13 ; +∞)