a) Express each of the following sets in roster form [3]
i) A = {Set of letters in the word ‘MATHEMATICS’}
ii) B = {Set of factors of 15}
iii) C = {x : x ∊ W and x < 6}
b) Find the sum of 4 - 3xy +8 ; 5 + 2xy -2 and 3 + 5xy -7 [3] 2
2
2
2
2
2
c) i) Evaluate : 5 + [2] 3
2
3
ii) Express 1176 in exponential form .
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1
Answer:
Step-by-step explanation:
a) A = {M,A,T,H,I,C,S}
B = {1,3,5,15}
C = {0,1,2,3,4,5}
b)
= 4 - 3xy + 8 +5 + 2xy - 2 + 3 + 5xy - 7
= 4 + 5 + 3 - 3xy + 2xy + 5xy + 8 - 2 - 7
= 12 + 4xy - 1
= 12 - 1 + 4xy
= 11 + 4xy
c)
5 + (2)3
= 5 + 6
= 11
d)
2, 1176. 2, 588. 2, 294. 3, 147. 7, 49. 7, 7. 1.
= 2 × 2 × 2 × 3 × 7 × 7.
= 23 × 3 × 72
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