Inequalities - practice problems - page 3 of 5
Directions: Solve each problem carefully. Show all your work.Number of problems found: 96
- Triangle Side Lengths Probability
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 into 2.63 and 1.40. The results of the individual divisions are added to give a result less than X. What is X? - Number axis distance 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 - Prime inequality solutions
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 proof
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 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? - Odd integer inequality
Determine the three odd integers that solve the inequality: -x> 6 - Triangle Side Lengths
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - Ľé sweets
There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is four times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets? - Function domains
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9) - Quadratic inequation If 5x + x² > 100, then x is not
- Solving Inequality
Which x satisfies the inequality 5 - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student - Integer inequalities
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Inequality with fraction
(1 + 3x) / (x-2)> 3 - Equation and inequality
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
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