Let D=E=x∈Z  :x≤nwhere n is equal to the sum of integers corresponding to last 3 alphabets of your name, for example if your name is BILAL then the three numbers will be L=12, A=1 and L=12 so  n=12+1+12=25. If your first name is Muhammad choose second name. Determine whether the given statement is true or false? Also give justification.

1. For n∈D, n2+n + 41 is a prime number.
2. There exists an integerk∈D andk>3  such that 2k2− 5k + 2 isprime
3. ∃u ∈D+ such that ∀v ∈E+, uv> v.

Answer rating: 100% (QA)

So the constraints are DEx being an integer and less than or equal to 3... View the full answer