Inequalities - practice problems - page 3 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 87
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
- Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed?
- Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
- Triangles
Ivo wants to draw all the triangles whose two sides have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have?
- Inequality: 6003
Determine the three odd integers that solve the inequality: -x> 6
- Centimeters 5681
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions.
- Ľé sweets
There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is four times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets?
- Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9)
- Quadratic inequation
If 5x + x² > 100, then x is not
- Inequality 4687
Which x satisfies the inequality 5
- Inequalities: 4229
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3
- Inequality with fraction
(1 + 3x) / (x-2)> 3
- Inequality: 3538
Example1: Solve a linear equation and perform a test: 6x- (3x + 2) = x-8 Example 2: Solve a linear inequality: 3y + 2 * (y + 1) ≥2y-7
- Larger number
Which number a is 15 smaller (solve also for a is larger) than its half?
- Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle?
- Mr. John
Mr. John wants to buy winter apples Spartan. There are two ways to buy: 1) buy apples at the marketplace, where 1 kg costs 15 CZK. 2) Bring the car to the agricultural farm, where the apples are sold for 9 CZK per kilogram. However, he must pay CZK 150 fo
- Mathematics 2980
More than 20, but less than 40 pupils go to 1.S. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. No one got a high five. How many 1.S pupils wrote the test with a four?
- Denominator 2883
Write a fraction with a denominator of 200 greater than 0.39 and less than a two-fifths fraction. Write its numerator x.
- One-fifth 2869
Find all natural numbers that are twice as much as one-fifth plus nine. How many are there?
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