Inequalities - practice problems - page 2 of 5
Directions: Solve each problem carefully. Show all your work.Number of problems found: 96
- Bird parakeet canary
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - Number inequality replacement
What is the smallest whole number to replace the known x for: 9> x/3> 4. - Henry
Henry has scored 72, 67, 82, and 79 on his Algebra tests. Use an inequality to find the score he must achieve on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests. - Triangle side possibilities
Which three lines of a given length can be three sides of a triangle? A / 42 mm; 22 mm; 12 mm; B / 5 cm, 50 mm, 6 cm; C / 10 m, 5 m, 50 dm; D / 2.1 cm, 4.2 cm, 1.9 cm - Renting
Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequ - Loan processing fee
The Nováková family took a loan (loan) of 120,000 euros from the bank. What was the amount of the fee for processing, setting up, and providing the loan if, according to the bank's fee schedule, it is 0.80% of the loan volume, but at least 250 euros and a - The triangle - sides The two sides of the triangle have side lengths a = 6 cm and b = 13 cm. Then the following applies to the length of the third side c: (A) 7
- Solve 8
Solve the given problem involving linear inequalities in two variables. Your parents give you a weekly allowance greater than Php200. The allowance is budgeted for your food and school needs. If you allowed Php70 for your school needs, what would be the m - AP - consecutive members
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 solution writing
2375 < x write two solutions to the inequality - At the beginning 3
At the beginning of motion, a car was going at a speed of 120 km/h and kept this speed for the first 11 seconds. Then it began to accelerate further such that every second it accelerated by 6 km/h until it reached a speed of 150 km/h. Then it began to dec - Calculate: 2
Calculate: 1. Write the given sets as intervals, represent graphically: {x ∈ R; 2< x ≤ 5} = {x ∈ R; 3 ≥ x} = {x ∈ R+; x < 4} = {x ∈ R; x < 4 ∧ x ≥ -1} = 2. List all elements of the following sets, write into set brackets: A = { x Є N; x ≤ 5 } A = B - 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. - Quadratic inequality solving
Solve the quadratic inequality: -2x² + 4x + 6 - Inequality natural number
Write the smallest natural number satisfying the inequality: 5. (2x-1) - Tourist speed puzzle
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 1 km/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? - Absolute value inequality
Solve on Z - inequality with absolute value: | x-18 | +4> 1
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