LOGIC EX. NO. 1.5

1. If  B = {5, 6, 8, 10}, determine the truth value of each of the following.

i.               ∃x∈B, such that 3x+4=28.

ii.              ∀x∈B,x+7<14.

iii.             ∀x∈B,4x-3≥17.

iv.             ∃x∈B,such that x is even.

v.              ∃y∈B,such that (y-10)∈N.

2. Use quantifiers to convert each of the following open sentences defined on N, into true statement.

i.             x²=36

ii.             5x-3<10

iii.            x-7=9

iv.            y²+3≤7

v.             y²-11y+30=0

vi.            x²≥1