Inequalities - practice problems - page 2 of 4Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 79
- 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.
For how many integer values of x can 5, 6, and x be the lengths of the sides of a triangle?
- 3-bracket 3
Two angles in a triangle are 90° and 60°. Has the triangle at least two equal sides?
- Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4.
- One-fifth 2869
Find all natural numbers that are twice as much as one-fifth plus nine. How many are there?
- The perimeter
The triangle has one side 5 cm long and another 11 cm long. What can be the smallest, and what is the largest perimeter?
- 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?
- 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
- 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.
- More money
Lenka has €4.8 more than Natalia. Who will have more and how much when Lenka gives Natalia €2.5?
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
At the party, everyone clinked with everyone. Together, they clink 406 times. How many people were at the party?
- Inequalities: 4229
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3
- 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?
- Double-digit 7736
How many double-digit numbers lie on the number axis closer to the number 31 than to the number 100?
- R triangle
Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400?
- Greatest 82502
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have?
- Report card
Ivor hit 4× grade 5 at the beginning of the school year. How many times must you now catch grade 1 to get grade 2 on the report card?
Athletes are 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?