(Solved): Questions 1 to 20 Convert set-builder to roster form: Ex. \( R=\{\quad y \quad \mid y ...

Convert set-builder to roster form: Ex. \( R=\{\quad y \quad \mid y<8\} \) For help_please click here (A) \( \mathrm{R}=\{2,3,4,5,6\} \) B \( \mathrm{R}=\{1,2,3,4,5,6,7\} \) (C) \( \mathrm{R}=\{0,1,2,3,4,5,6,7\} \) (D) \( \mathrm{R}=\{1,2,3,4,5,6,7,8\} \) Which one represent as a null/ empty set? For explanation please click here \( \{a\} \) \{\} \( \{\varnothing\} \) D) \( \{1\} \) Assume you are going to buy a new Nissan Rouge priced at \( \$ 28250 \) and after the deal you have found out that the sales tax is \( 10 \% \). Estimate the tax amount to nearest thousand. Check out the explanation here \[ \$ 8000 \] \[ \$ 2000 \] \[ \$ 35000 \] \[ \$ 2800 \] This is an example of infinite set. \( \mathrm{B}= \) \{NYC, London, Paris, Dhaka, Davis \( \} \) For help please click here True False Set \( A \) and set \( B \) is equivalent! \( A=\{2,3,6\} \quad B=\{c, d, e\} \) For help please click here True False Set \( A \) and set \( B \) is an example of an equal set. Ex. A \( = \) \{Melisa, Afroza, Jannat \( \} \) \( B=\{ \) Jannat, Afroza, Melisa \( \} \) For help_please click here True False Question 7 Set \( A \) and set \( B \) is Equal! \[ \begin{array}{l} A=\{2,3,6\} \\ B=\{c, d, e\} \end{array} \] For help please click here True False Find a counter example. The sum of any three counting numbers is divisible by 6. Counter example: \( 1+2+3=6 \) Choose the correct answer. Click here to see an Example of Counter Examples True False This is an example of Finite set \( E=\{22,24,26,28\} \) Introduction to Sets True False Determine the number of distinct proper subsets for the given set \( \{1,2,3,4,5,6 \),\( \} . \) For help please click here 6 64 36 63 Universal set represent all the elements inside the rectangle. For help_please click here True False Determine whether one set is a subset of other set. \( \mathrm{C}=\{\mathrm{x} \mid \mathrm{x} \) is strawberry \( \}, \mathrm{D}=\{ \) blueberry, cranberry, raspberry \( \} \) For help_please click here True False Determine the number of distinct subsets for the given set \( \{\mathrm{t}, \mathrm{a}, \mathrm{p}, \mathrm{e} \) ). Eor help please click here 2 4 32 16 What is the next number for this sequence? \( 7,12,17,22 \), Blank 1. 1. Arithmetic Sequences Pick 16 and add 10 to the number. Divide the sum by 5. Multiply the quotient by 5. Subtract 10 from the product. Then subtract your original number16. Add your answer Given set \( A=\{1,2,3,4\}, B=\{1,3,2,4\} \), \( A \) is a proper subset of \( B \). For help please click here True False Determine whether set \( A \) is a subset of set \( B \). \( A=\{ \) rain, snow \( \}, B=\{ \) rain, snow, wind \( y\} \) For help please click here True False Convert to Roster form: Set \( L \) is the set of natural numbers less than 12 . Eor help.please click here \[ L=\{1,2,3,4,5,6,7,8,9,10,12\} \] B) \( \mathrm{L}=\{0,1,2,3,4,5,6,7,8,9,10,11\} \) (C) \( L=\{1,2,3,4,5,6,7,8,9,10,11,12\} \) \[ \mathrm{L}=\{1,2,3,4,5,6,7,8,9,10,11\} \] \[ D=\{5,6,7,8,9,10 \ldots\} \] Eor help please click here (A) \( D=\{x \mid \) the set of natural number greater than 5\( \} \) B \( \mathrm{D}=\{\mathrm{x} \mid \) the set of natural number greater than or equal to 5\( \} \) (C) \( D=\{x \mid \) the set of integers greater than or equal to 5\( \} \) D) \( D=\{x \mid \) the set of counting number greater than or equal to 5\( \} \) The average price of a hotel room decreased by \( 60 \% \) because of COVID 19. If the average price for the hotel room was \( \$ 95 \) the year before, what is the price now? Round your answer to the nearest hundredths. Explanation is available on #3 in the videol