Inequalities - math problems
Number of problems found: 39
Solve inequality: 3x + 6 > 14
- Quadratic inequation
If 5x + x² > 100, then x is not
It is true (prove it) that if a> b> 0: ?
- 3-bracket 2
May be the smallest angle in the triangle greater than 70°?
May be the largest angle in the triangle less than 20°?
At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
- Sum of dividend
Suppose X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X?
An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2
For how many integer values of x can 6, 19 and x be the lengths of the sides of triangle?
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than to 400?
- Quadratic function
It is given a quadratic function y = -4x2+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
- Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must now catch grade 1 to get grade 2 on the report card?
- More money
Lenka has €4.8 more than Natalia. Who will have more and how much, when Lenka give Natalia €2.5?
- 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.
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
- 3-bracket 3
Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.
- 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.
- The perimeter of the rectangle
The length, l, of a rectangle is 4 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. What inequality shows the range of possible widths of the rectangle?