# Inequalities - examples

- 3-bracket

May be the largest angle in the triangle less than 70°? - 3-bracket 2

May be the smallest angle in the triangle greater than 20°? - 3-bracket 3

Two angles in a triangle are 80° and 50°. Has triangle at least two equal sides? - Intersections

How many intersections have circles with radius 12 dm and 17 dm, if the distance of their centers is 20 dm. - Reciprocal

It is true (prove it) that if a> b> 0: ? - QuizQ

An isosceles triangle has two sides of length 9 dm and 35 dm. How long is a third side? - Party

At party overyone clink with everyone. Together, they clink 406 times. How many people were at the party? - Report card

Ivor hit 1× grade 5 at the beginning of the school year. How many times must now catch grade 1 to get grade 2 on report card? - Athletes

Athletes standing in rows of eight. Ivan estimated that athletes are more than 120. Peter claimed that there are fewer than 130. Both are right. How many are athletes? - Dining tables

In the dining room are tables with 4 chairs, 6 chairs, 8 chairs. How many diners must be at least to be occupy all tables (chairs) and diners are more than 50? - Grass garden

Mr. Grass would itself be mowed garden for 5 hours. His son Michael could do it for 7 hours. They agreed that they wake up at 5 am and begins to mow together. Ms. Grass needs drive into town at 8.30. Michael says that at that time they're done with work.. - Line

Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers. - Lion or virgin

We toss coin, every throw fits lion or a virgin with equal probability 1/2. Determine how much at least we have to make throws that with probability 0.9 lion fell at least once. - Right triangle Alef

The perimeter of a right triangle is 132 cm, the hypotenuse is 55 cm long. Determine the lengths of the legs. - Trees

Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, left them 8 trees. If they seed in rows of 43, left the 11 trees. How many trees must seed ? - Rates

When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.35 € per 1 m^{3}of gas a flat monthly fee of 3.6 € (regardless of consumption) rate B - which pays 0.295 € per 1 m^{3}of gas a flat monthly fee of 8.3 € From what monthl - R triangle

Calculate the area of a right triangle whose longer leg is 9 mm shorter than the hypotenuse and 4 mm longer than the shorter leg. - Inequation

Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2 - 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 after 9 CZK per kilogram. However, he must pay CZK 150. - Cyclist vs car

Cyclist rode out of the city at 18 km/h. 1 hour 30 minutes behind him started car and caught up with the cyclist in 50 minutes. How fast was driving the car? Where (what kilometer) from the city car overtook a cyclist?

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