Inequalities - practice problems - page 2 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 83
- In the
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170? - Inequality 46231
2375 & lt; x write two solutions to the inequality - Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - 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? - 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. - Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6 - Inequality: 33081
Write the smallest natural number satisfying the inequality: 5. (2x-1) - Tourist 14291
If a tourist reduced his speed by 1 km / h, he would walk less than 12 km in 3 hours. If he added to the step by 1km / h, he would walk more than 25 km in 5 hours. How fast is the tourist? - 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 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1 - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - 600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done? - 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? - Inquality
Solve inequality: 3x + 6 > 14 - Inequality 7581
How many prime numbers are the inequality solutions: x / 3> x - 8? - 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 of which 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?
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