CSC165H1: Problem Set 0
CSC108H1 ) Introduction to Computer Programming LEC 0401 Thomas
Fairgrieve
CSC165H1 F(Fall) Mathematical Expression and Reasoning for Computer Science LEC
0101 Daniel Heap
MAT223H1 F(Fall) Linear Algebra 1 LEC0401 TUT0307 Sean Uppal
MAT137Y1 Y(Full Session) Calculus LEC0101 TUT0202 Alfonso Gracia-Saz
SPA100Y1 Y(Full Session) Spanish for Beginners LEC5201 Jose Eduardo
Villalobos Graillet
3. Since 𝑆1 be the set of all even positive integers, S2 be the set of all integers less than 15
𝑆1\𝑆2={𝑥|
𝑥
2
∈ℤ 𝑎𝑛𝑑 𝑥15}
4.
p q s p∧ q (p∧ q) ⇒ s
T F F F T
T F T F T
T T F T F
T T T T T
F F F F T
F F T F T
F T F F T
F T T F T
5.
Since n is positive,
3
𝑥−2 = 𝑛
𝑥
3
𝑥
9
= 𝑛
𝑥
3
𝑥 = 𝑛
𝑥 × 9
(
3
𝑛
)
𝑥 = 9
x = log3
𝑛
9
x = 2 log3
𝑛
3
x = 2 ×
log10 3
log10
3
𝑛
x = 2 ×
log10 3
log10 3 − log10 𝑛
x = 2 ×
1
1 −
log10 𝑛
log10 3
x = 2 ×
1
1 − log3 𝑛
x =
2
1−log3 𝑛
and this is the answer.
By Xinyi Ji
