Find all integral values of y that make the inequality true. Use interval notation to describethe set of values included. Example, write y = [4,8], or simply [4,8], if the values of y are4, 5, 6, 7, & 8; write [-4+inf.), if the values of y is from -4 up to +; write [-4,-10] or [2,11],if the values of y are either from -4 up to -10, or from 2 up to 11, etc.(Do not make anyspace between numbers or symbols)._1. [(15/2) - y| < 6.92. T(y/2) + (11/4)| <113. [y- (4/3)|24Refer to the table below for the data in order to answer the questions asked. Writeyour answers without space or comma (i.e. write 3456 and not 3,456; or not 3 456).Y; Zn X; Y; | Zn X,2-106.7-53-8-978.-478.9.-3-79.10| -26.-610 | 11-110_4. Éx,y,*z,105. ПУДХ, -2,)_6. £x,v,²z,10_7. []Y,-X Zi)-7Find the total number of distinct prime divisors of the number n. Identify the greatestprime divisor. (Write your answers in exactly this manner: 2317;8 if the greatestprime divisor of n is 2317 and the total number of prime divisors of n is 8)_8. n = (15! +20!)9. n = 51! – 46!- 25!_11. n = (15!) (67!) + (78!)_10. n =30!Give the 11th pair of integral values of x and y, where x < 0 and y < 0, that satisfies eachof the given equations. (Write your answer in exactly this manner: 3,-5 if the value of x is3 and the value of y is -5. There is no space between 3 and -5)_12. 12x – 18y = 48_13. 57x - 54y= -33_14. -49x + 28y = 63_15. -72x + 18y = 36_16. 53x – 81y = -126 During the previous CAS frolics, the organizers charged P40 per ticket for sponsors andP25 for students for the matinee and gala presentations. The total collection wasP575,250.00. It was noted that more students than sponsors attended the presentations._17. What is the maximum number of students who watched the frolics?_18. At least how many sponsors watched the frolics?The difference of the number of boxes containing nine bars of chocolates and thosecontaining twelve bars of chocolates is 39. There are more boxes containing nine bars ofchocolates than those containing twelve bars._19. What is the minimum number of boxes containing nine bars ofchocolates?During the Covid 19 ECQ period last April – May, 2020, a farmer sold two kinds of product:cabbage and carrot. A kilo of cabbage is P81 and that of a carrot is P108. After a weekof selling and subtracting the total expenditure of P7,875, the farmer collected a total netincome of P40, 320._20. At least how many kilograms in total of cabbages and carrots weresold?_21. At most how many kilograms in total of cabbages and carrots weresold?A businesswoman purchased 220 boxes of fruits containing apples, pears, and oranges.A box of apples costs P145, a box of pears costs P160, and a box of oranges costs P80.The total cost of the fruits is P27,375. (Write your answer in exactly this manner: 3:4516;7if the value of x is 3, the value of y is 4516, and the value of z is 7)_22. How many boxes of each kind of fruits did she buy if the greatestpossible number of boxes of pears was considered in the purchase?_23. How many boxes of each kind of fruits did she buy if the greatestpossible number of boxes of apples was considered in the purchase?After a dance practice, a group of young dancers, together with their parents and otherfamily members, decided to eat their dinner together at Good Taste restaurant, locatednear Dangwa station in Baguio City. Some individuals ordered Good Taste Rice at P115each serving, and others ordered Lechon Rice at P135 per serving. The bill of the foodwas P6,130. It was agreed that the total cost of the food is to be divided equally amongthe diners. The dancers are more in number than the combined number of their parentsand other family members._24. How much did each individual pay?25. How many paid more than the cost of what they have eaten?_26. How many paid less than the cost of what they have eaten?

Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Find all integral values of y that make the inequality true. Use interval notation to describe the set of values included. Example, write y = [4,8], or simply [4,8), if the values of y are 4, 5, 6, 7, & 8; write [-4+inf.), if the values of y is from -4 up to +; write [-4,-10] or [2,11], if the values of y are either from -4 up to -10, or from 2 up to 11, etc.(Do not make any space between numbers or symbols). _1. |(15/2) - y| < 6.9 2. T(y/2) + (11/4)| <11 [y- (4/3)|24

Find all integral values of y that make the inequality true. Use interval notation to describe the set of values included. Example, write y = [4,8], or simply [4,8), if the values of y are 4, 5, 6, 7, & 8; write [-4+inf.), if the values of y is from -4 up to +; write [-4,-10] or [2,11], if the values of y are either from -4 up to -10, or from 2 up to 11, etc.(Do not make any space between numbers or symbols). _1. |(15/2) - y| < 6.9 2. T(y/2) + (11/4)| <11 [y- (4/3)|24

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Find all integral values of y that make the inequality true. Use interval notation to describe
the set of values included. Example, write y = [4,8], or simply [4,8], if the values of y are
4, 5, 6, 7, & 8; write [-4+inf.), if the values of y is from -4 up to +; write [-4,-10] or [2,11],
if the values of y are either from -4 up to -10, or from 2 up to 11, etc.(Do not make any
space between numbers or symbols).
_1. [(15/2) - y| < 6.9
2. T(y/2) + (11/4)| <11
3. [y- (4/3)|24
Refer to the table below for the data in order to answer the questions asked. Write
your answers without space or comma (i.e. write 3456 and not 3,456; or not 3 456).
Y; Zn X; Y; | Z
n X,
2
-10
6.
7
-5
3
-8
-9
7
8.
-4
7
8.
9.
-3
-7
9.
10| -2
6.
-6
10 | 11
-1
10
_4. Éx,y,*z,
10
5. ПУДХ, -2,)
_6. £x,v,²z,
10
_7. []Y,-X Zi)
-7
Find the total number of distinct prime divisors of the number n. Identify the greatest
prime divisor. (Write your answers in exactly this manner: 2317;8 if the greatest
prime divisor of n is 2317 and the total number of prime divisors of n is 8)
_8. n = (15! +20!)
9. n = 51! – 46!
- 25!
_11. n = (15!) (67!) + (78!)
_10. n =
30!
Give the 11th pair of integral values of x and y, where x < 0 and y < 0, that satisfies each
of the given equations. (Write your answer in exactly this manner: 3,-5 if the value of x is
3 and the value of y is -5. There is no space between 3 and -5)
_12. 12x – 18y = 48
_13. 57x - 54y= -33
_14. -49x + 28y = 63
_15. -72x + 18y = 36
_16. 53x – 81y = -126

During the previous CAS frolics, the organizers charged P40 per ticket for sponsors and
P25 for students for the matinee and gala presentations. The total collection was
P575,250.00. It was noted that more students than sponsors attended the presentations.
_17. What is the maximum number of students who watched the frolics?
_18. At least how many sponsors watched the frolics?
The difference of the number of boxes containing nine bars of chocolates and those
containing twelve bars of chocolates is 39. There are more boxes containing nine bars of
chocolates than those containing twelve bars.
_19. What is the minimum number of boxes containing nine bars of
chocolates?
During the Covid 19 ECQ period last April – May, 2020, a farmer sold two kinds of product:
cabbage and carrot. A kilo of cabbage is P81 and that of a carrot is P108. After a week
of selling and subtracting the total expenditure of P7,875, the farmer collected a total net
income of P40, 320.
_20. At least how many kilograms in total of cabbages and carrots were
sold?
_21. At most how many kilograms in total of cabbages and carrots were
sold?
A businesswoman purchased 220 boxes of fruits containing apples, pears, and oranges.
A box of apples costs P145, a box of pears costs P160, and a box of oranges costs P80.
The total cost of the fruits is P27,375. (Write your answer in exactly this manner: 3:4516;7
if the value of x is 3, the value of y is 4516, and the value of z is 7)
_22. How many boxes of each kind of fruits did she buy if the greatest
possible number of boxes of pears was considered in the purchase?
_23. How many boxes of each kind of fruits did she buy if the greatest
possible number of boxes of apples was considered in the purchase?
After a dance practice, a group of young dancers, together with their parents and other
family members, decided to eat their dinner together at Good Taste restaurant, located
near Dangwa station in Baguio City. Some individuals ordered Good Taste Rice at P115
each serving, and others ordered Lechon Rice at P135 per serving. The bill of the food
was P6,130. It was agreed that the total cost of the food is to be divided equally among
the diners. The dancers are more in number than the combined number of their parents
and other family members.
_24. How much did each individual pay?
25. How many paid more than the cost of what they have eaten?
_26. How many paid less than the cost of what they have eaten?

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