If A = {1, 3, 4, 8} and B = {3, 6, 8, 9, 12}, find: i. A – B ii. B – A iii. A ∪ B and A ∩ B
A - B = {1, 4}
B – A = {6, 9, 12}
A ∪ B = {1, 3, 4, 6, 8, 9, 12} and A ∩ B = {3, 8}
Simplify these expressions and find their values if x = 3, a = − 1, b = − 2.
(i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4
(iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b
(v) 2a − 2b − 4 − 5 + a
Factorise each of the following:
(i) (ii)
(iii) (iv)
(v)