Intersection of sets - practice problems - page 6 of 11

Number of problems found: 212

25 pupils
Twenty-five pupils attend the school dance group, which is 5 percent of all pupils. The judo class is attended by 20 pupils, a quarter of whom also attend a dance group. How many schoolchildren do not go to a dance or judo group?
Gym center
80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discou
Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B
Toy shelf
There were 32 toys on the toy store shelf. We know that there were 19 cars with these toys. We also know that 18 of these toys were made of wood. How many wooden cars were on the shelf? Find at least two solutions.
Common divisor
All common divisors of headings 90 and 48
Square circle area
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square.
Art circle children
Ten children came to the art circle. Eight children painted, and nine, I guess. How many children did I paint with, and I think simultaneously?
Pin circle arrangement
Three circles of the same size are drawn on the playing field. Arrange the 16 pins so that there are 9 pins in each circle. Find at least eight significantly different layouts, i.e. J. such layouts in which pins or circles are not distinguished.
Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. However, if Robert were coaching, he would only have a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be t
Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroups and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group, and what are their names in that case?
Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies.
Operations with sets
Set B - A has twice as few elements as set A - B and four times fewer elements than set A ∩ B. How many times more elements does set A have than set B?
MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
Subtracting sets
For two sets K, L is true: K has 30 elements, L has 27 elements, and the set L - K has 22 elements. How many elements does the set K - L have?
Set element
The following holds for two non-empty sets, A and B: A ∪ B has 16 elements, A ∩ B has 11 elements, and the set A - B is empty. How many elements does set B-A to have?
Venn diagram
First-year university students choose a foreign language. Of 120 enrolled students, 75 chose English, 65 chose German, and 40 chose both English and German. Using a Venn diagram, determine: - how many students chose only English, - how many students chose
Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
Perpendicular projection
Determine the distance of point B[1, -3] from the perpendicular projection of point A[3, -2] on a straight line 2 x + y + 1 = 0.
Quadratic inequality solving
Solve the quadratic inequality: -2x² + 4x + 6
Circle center construction
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles.

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