7. The sets M={x-2<x<6} and N={x+4 ≤ x<8} are subsels of μ={x: 1 ≤ x ≤ 10, where x is an integer

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Question

7. The sets $ M=\{x-2<x<6\} $ and $ N=\{x+4 \leq x<8\} $ are subsels of $ \mu=\{x: 1 \leq x \leq 10 $, where $ x $ is an integer $ \} $ Find $ M^{\prime} \cap N^{\prime} $. A. $ \{1,7,8\} $ B. $ \{1,8,9\} $ C. $ \{1,9,10\} $ D. $ \{1,8,10\} $ 8. Consider the following statements: p. The weather is wann. $ q $ : The sun is shining. Which of the following correctly represents the statement: "The sun is shining if and only if the weather is warm"? A. $ p \Longleftrightarrow \sim q $ B $ \sim p \leftrightharpoons \sim q $ C. $ \sim q \hookrightarrow \sim p $ D $ q \hookrightarrow p $ 9. Solve: $ d^{2}-4 d-96=0 $. A. $ d=8,12 $ B. $ d=-8,-12 $ C. $ d=8.12 $ 1) $ d-8,-12 $ 10. Simplify: $ \frac{2 \frac{1}{3}+\frac{5}{2}}{12-11 \frac{3}{4}} $ A. $ 10 \frac{2}{3} $ B $ 15 \frac{1}{3} $ C. $ 16 \frac{1}{4} $ D. $ 17 \frac{1}{2} $ 11. Given that $ \left(x^{-7}\right)^{4}-\frac{1}{x^{6}} $, find the value of $ n $ A. $ \frac{-2}{3} $ B. $ \frac{-3}{2} $ C. $ \frac{3}{2} $ D. $ \frac{2}{3} $ 12. Given that $ x+y-1 $ and $ x+3 y=5 $, find the value of $ \left(x^{2}+4 x y+3 y^{2}\right) $. A. 1 B. 5 C. 10 D. 25 13. Given that $ \log _{4} 16 \log _{5} 36 $, find the value of $ y $. A 3 B. 4 C. 6 D. 8 14. Jolin sold an article for $ \mathrm{N} 105,000,00 $ at a loss of $ 4 \% $. Find the cost price of the article. A. N100,800,00 B. N105,400.00 (C) N109,20000 D. N109,37500 15. The population of a lown increases by 2\% cvery year. After 2 years, the population is 83,232 . Calculate, correct to the nearest thousand, the original population A 80,000 13 81,000 C 82,000 D) 83,000 0254020-4 3

          7. The sets \( M=\{x-2<x<6\} \) and \( N=\{x+4 \leq x<8\} \) are subsels of \( \mu=\{x: 1 \leq x \leq 10 \), where \( x \) is an integer \( \} \) Find \( M^{\prime} \cap N^{\prime} \).
A. \( \{1,7,8\} \)
B. \( \{1,8,9\} \)
C. \( \{1,9,10\} \)
D. \( \{1,8,10\} \)
8. Consider the following statements:
p. The weather is wann.
\( q \) : The sun is shining.
Which of the following correctly represents the statement: "The sun is shining if and only if the weather is warm"?
A. \( p \Longleftrightarrow \sim q \)

B \( \sim p \leftrightharpoons \sim q \)
C. \( \sim q \hookrightarrow \sim p \)

D \( q \hookrightarrow p \)
9. Solve: \( d^{2}-4 d-96=0 \).
A. \( d=8,12 \)
B. \( d=-8,-12 \)
C. \( d=8.12 \)
1) \( d-8,-12 \)
10. Simplify: \( \frac{2 \frac{1}{3}+\frac{5}{2}}{12-11 \frac{3}{4}} \)
A. \( 10 \frac{2}{3} \)

B \( 15 \frac{1}{3} \)
C. \( 16 \frac{1}{4} \)
D. \( 17 \frac{1}{2} \)
11. Given that \( \left(x^{-7}\right)^{4}-\frac{1}{x^{6}} \), find the value of \( n \)
A. \( \frac{-2}{3} \)
B. \( \frac{-3}{2} \)
C. \( \frac{3}{2} \)
D. \( \frac{2}{3} \)
12. Given that \( x+y-1 \) and \( x+3 y=5 \), find the value of \( \left(x^{2}+4 x y+3 y^{2}\right) \).
A. 1
B. 5
C. 10
D. 25
13. Given that \( \log _{4} 16 \log _{5} 36 \), find the value of \( y \).

A 3
B. 4
C. 6
D. 8
14. Jolin sold an article for \( \mathrm{N} 105,000,00 \) at a loss of \( 4 \% \). Find the cost price of the article.
A. N100,800,00
B. N105,400.00
(C) N109,20000
D. N109,37500
15. The population of a lown increases by 2\% cvery year. After 2 years, the population is 83,232 . Calculate, correct to the nearest thousand, the original population

A 80,000
13 81,000
C 82,000
D) 83,000
0254020-4
3

$7. The sets M={x-2<x<6} and N={x+4 ≤ x<8} are subsels of μ={x: 1 ≤ x ≤ 10, where x is an integer } Find M^'∩ N^'. A. {1,7,8} B. {1,8,9} C. {1,9,10} D. {1,8,10} 8. Consider the following statements: p. The weather is wann. q : The sun is shining. Which of the following correctly represents the statement: "The sun is shining if and only if the weather is warm"? A. p ⟺∼ q B ∼ p ⇋∼ q C. ∼ q ↪∼ p D q ↪ p 9. Solve: d^2-4 d-96=0. A. d=8,12 B. d=-8,-12 C. d=8.12 1) d-8,-12 10. Simplify: (2 (1)/(3)+(5)/(2))/(12-11 (3)/(4)) A. 10 (2)/(3) B 15 (1)/(3) C. 16 (1)/(4) D. 17 (1)/(2) 11. Given that (x^-7)^4-(1)/(x^6), find the value of n A. (-2)/(3) B. (-3)/(2) C. (3)/(2) D. (2)/(3) 12. Given that x+y-1 and x+3 y=5, find the value of (x^2+4 x y+3 y^2). A. 1 B. 5 C. 10 D. 25 13. Given that log4 16 log5 36, find the value of y. A 3 B. 4 C. 6 D. 8 14. Jolin sold an article for N 105,000,00 at a loss of 4 %. Find the cost price of the article. A. N100,800,00 B. N105,400.00 (C) N109,20000 D. N109,37500 15. The population of a lown increases by 2% cvery year. After 2 years, the population is 83,232 . Calculate, correct to the nearest thousand, the original population A 80,000 13 81,000 C 82,000 D) 83,000 0254020-4 3$

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