# Inequalities - examples

- Inquality

Solve inequality: 3x + 6 > 14 - The Hotel

The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numbers 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 r - Right triangle Alef

The area of a right triangle is 294 cm^{2}, the hypotenuse is 35 cm long. Determine the lengths of the legs. - Widescreen monitor

Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio. Is buying widescreen monitors with same diagonal more advantageous tha - R triangle

Calculate the area of a right triangle whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Rates

When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m^{3}of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m^{3}of gas a flat monthly fee of 12.5 € From what monthl - Report card

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

John build up area 5 x 7 = 35 m^{2}with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%? - Car factory

Carmaker now produce 4 cars a day more than last year, so the production of 388128 cars will save just one full working day. How many working days needed to manufacture 388128 cars last year? - Intersections

How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm. - 3-bracket

May be the largest angle in the triangle less than 20°? - Party

At party overyone clink with everyone. Together, they clink 171 times. How many people were at the party? - 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. - 3-bracket 2

May be the smallest angle in the triangle greater than 40°? - 3-bracket 3

Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides? - Triangle

For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle? - Circle chord

Determine the radius of the circle in which the chord 6 cm away from the center of the circle is 12 cm longer than the radius of the circle. - 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 ? - 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. - Reciprocal

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

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