# Question: pls dont answer using your own handwriting or pictures...

###### Question details

* PLS don’t answer using your own handwriting or pictures since it will be hard for me to copy and paste.

1) Let Q(y) is the statement “ y^2+y<20” and the universe of discourse consists of the positive integers not exceeding 7. Find the truth value of ∃y Q(y) and ∀ y Q(y).

2) Express the following statement using predicates and quantifiers.

“There is a worker, who had worked more than 15 hours per day in year 2018 and not received 185$ per day.”

3)Find the sum-of-products expansion of the Boolean

function F (*x*, *y,z*) = *x**y*.