Question 1116640: 1.1 In a survey of 400 households regarding the ownership of Desktop (D) and laptop computers (L), the following information was obtained:
240 households own only desktop computers, 20 households own only laptop computers and 80 households own neither desktop nor laptop computers.
1.1.1 Represent the given information on a Venn diagram. (4) 1.1.2 Write down an equation in terms of 𝑥 which represents the universal set. (3) 1.1.3 How many households own both desktop and laptop computers? (2)
1.2 Given the universal set 𝑆 = {2,3,4,5,6,7,8,9,10,11}
𝐴 = {𝑥:2(𝑥 − 3), 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 ,2 < 𝑥 ≤ 6} 𝐵 = {𝑥 + 1:𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 ,2 < 𝑥 < 7} 𝐶 = {𝑥:𝑥 𝑖𝑠 𝑎𝑛 𝑒𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟}
Find:
a) 𝐴 ∩ 𝐶 (2) b) 𝐵 ∪ 𝐶 (2) c) 𝐵 ⊕ 𝐴 (3) d) 𝐴𝐶
Answer by solver91311(24713)   (Show Source):
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