Question

section b: short answer questions
instructions: write your final answer clearly.
total marks: 10 (5 marks each)

question 1 (week 2-3: sets and properties) 5 marks
if \\(a = \\{1,2,3,4\\}\\) and \\(b = \\{3,4,5,6\\}\\):
a) find \\(a \cup b\\) (1 mark)
b) find \\(a \cap b\\) (1 mark)
c) identify the property: \\(7 + 3 = 3 + 7\\) (1 mark)
d) find the additive inverse of \\(-5\\) (1 mark)
e) find the multiplicative inverse of \\(\frac{1}{2}\\) (1 mark)

Explanation:

Answer:

a) \(\{1, 2, 3, 4, 5, 6\}\)
b) \(\{3, 4\}\)
c) Commutative property of addition
d) \(5\)
e) \(2\)