Question

Scrieți elementele mulțimilor

B= {x | x € N, x = 2 la puterea k, k € N, k < 4}

C= {x | x € N*, 2 la puterea x ≤ 32}

D= {x | x € N*,x⁴ ≤ 64

Answer 1

1) k<4=>k∈{0, 1, 2, 3}
x=2^k
x∈{2⁰, 2¹, 2², 2³}
x∈{1, 2, 4, 8}
B={1, 2, 4, 8}

2) x∈{1, 2, 3, 4, 5}, 2¹=2, 2²=4, 2³=8, 2⁴=16, 2⁵=32
C={1, 2, 3, 4, 5}

3) x∈{1, 2}, 1⁴=1, 2⁴=16
D={1, 2}