6) 27^1/3 + 3⁻¹
a⁻ᵇ = 1/aᵇ
27^1/3 = 3
3⁻¹ = 1/3¹ = 1/3
3 + 1/3 = 3 1/3 = 10/3
ответ: 3
7) 4x - 3 < x - 1/2
4x - x < -1/2 + 3
3x < 5/2
x < 5/2 * 1/3
x < 5/6
x∈(-∞; 5/6)
ответ: 4
8) (x + 2)*3 = 9
x + 2 = 9/3
x + 2 = 3
x = 3 - 2 = 1
ответ: 4
9) x²<4
|x| < 2
x < 2
-x < 2 => x > -2
x∈(-2;2)
ответ: 3
10) (a^b)^c = a^(b*c)
a⁻ᵇ = 1/aᵇ
a) 3
b) 4^3/2 = (2^2)^3/2 = 2^(2*3/2) = 2^3 = 8
c) ∛30 ∛27 < ∛30 < ∛64 => 3 < ∛30 < 4
d) (1/3)⁻¹ = 3¹ = 3
ответ: 2
11) 3x² - x = 4x - 2
3x² - x - 4x + 2 = 0
3x² - 5x + 2 = 0
D = b² - 4ac = 25 - 4 * 3 * 2 = 1
x₁ = (-b + √D) / 2a = 5 + 1 / 6 = 1
x₂ = (-b - √D) / 2a = 5 - 1 / 6 = 4/6 = 2/3
ответ: 3
2)23*49=1127
3)999*49=48951
4)47873+1127=49000
5)49000-48951=49