MAT1501
ASSIGNMENT 3
2025
, QUESTION 1
a).
−4 − 3 − 2 − 1 0 1 2 3 4 5
−4 − 3 − 2 − 1 0 1 2 3 4 5
b).
A ∪ B = {x ∈ R ∶ x > −4}
c).
−4 − 3 − 2 − 1 0 1 2 3 4 5
d).
A ∩ B = {x ∈ R ∶ −3 < x ≤ 5}
e).
−4 − 3 − 2 − 1 0 1 2 3 4 5
, QUESTION 2
a).
T1 = a
T2 = a + d
T3 = a + 2d
∴ T1 + T3 = 10
a + a + 2d = 10
2a + 2d = 10
a+d=5 1
∴ T1 T3 = 15
a(a + d) = 15 From 1 a + d = 5
a(5) = 15
5a = 15
a=3
a+d=5
3+d=5
d= 5−3
d=2
T1 = a
T1 = 3
T2 = a + d
T2 = 3 + 2
ASSIGNMENT 3
2025
, QUESTION 1
a).
−4 − 3 − 2 − 1 0 1 2 3 4 5
−4 − 3 − 2 − 1 0 1 2 3 4 5
b).
A ∪ B = {x ∈ R ∶ x > −4}
c).
−4 − 3 − 2 − 1 0 1 2 3 4 5
d).
A ∩ B = {x ∈ R ∶ −3 < x ≤ 5}
e).
−4 − 3 − 2 − 1 0 1 2 3 4 5
, QUESTION 2
a).
T1 = a
T2 = a + d
T3 = a + 2d
∴ T1 + T3 = 10
a + a + 2d = 10
2a + 2d = 10
a+d=5 1
∴ T1 T3 = 15
a(a + d) = 15 From 1 a + d = 5
a(5) = 15
5a = 15
a=3
a+d=5
3+d=5
d= 5−3
d=2
T1 = a
T1 = 3
T2 = a + d
T2 = 3 + 2
