How to solve higher order inequality?

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• 1. Solve the following Fractional Inequality x + 1 / X-1 ≤ 0
• 2. Four roads （1） （2X^2-X+1）/(2X+1)＞0 （2） 1/2X^2-1/3X+1/5≥0 （3） （X-1）/(X-2)＞1/2 （4） (X-4)/(X^2+X-2)＞0
• 3. Solve the following Fractional Inequality (Mathematics of grade one in senior high school) three problems (1) (2x + 5) > 1 (2) 2 / 3-5X is greater than or equal to 3 (3) X square + X + 1 / 2 (- 2x + 5)
• 4. Does the number axis need origin when solving inequality system?
• 5. Ask an inequality application problem, kneel down to seek progress! There are 15W books in the library, and a group is arranged to carry the books every day. A total of 1.8W books are moved in two days, and each group is required to carry the same number of books in seven days. How many groups should be arranged at least every day in the next few days? I don't know why the answer is 2.9. How should I list it? I am 1.8 + (0.9 * 5) x > 15
• 6. I'm going to ask questions - solving inequality problems~ Give a pile of apples to several children. If each child gets three apples, there will be eight. If no one gets five apples, there will be less than three apples for the last one By four o'clock
• 7. 1. A store needs to purchase a batch of TV sets and washing machines. According to the market survey, it is decided that the purchase quantity of TV sets is not less than half of that of washing machines. The purchase price and selling price of TV sets and washing machines are as follows: Category TV washing machine Purchase price (yuan / set) 1800 1500 Price (yuan / set) 2000 1600 Plan to buy 100 TV sets and washing machines, the store can raise up to 161800 yuan (1) Can you help the store to figure out how many kinds of purchase plans there are (2) Which purchase plan will get the most profit when the TV set and washing machine are sold in the store? And find out the most profit. (profit = selling price purchase price) 2. In 2007, a county in our city was preparing for the 20th anniversary of the county celebration. The garden department decided to use the existing 3490 pots of A-type flowers with a and B-type gardening models, a total of 50, placed on both sides of Yingbin Avenue. It is known that 80 pots of A-type flowers, 40 pots of B-type flowers, 50 pots of A-type flowers and 90 pots of B-type flowers are required to match A-type flowers (1) The extracurricular activity group of class 1, grade 9 of a school undertook the design of this gardening modeling matching scheme. How many matching schemes are there? Please help to design them (2) If the cost of matching a model a is 800 yuan, and that of matching a model B is 960 yuan, try to explain which scheme in (1) has the lowest cost? What is the lowest cost? The answer should be before 21:00:00 on May 30, 2009. Those who know the answer should answer immediately
• 8. 1. The purchase price of apple is 3.8 yuan per kilogram, and it is estimated that 5% of the apples are in normal loss. In order to avoid losing money, how much yuan per kilogram should the seller price at least? 2. It is known that the solution set of inequality (2a-b) x + a-5b > 0 about X is x < 10 / 7. Find the solution set of inequality ax > b about X
• 9. Application of two inequalities in the first grade of junior high school 1. It takes 10 hours for a ship to travel from a place in the upper reaches of a river to B place in the lower reaches at a constant speed, and less than 12 hours to return from B place to a place at a constant speed. The water velocity of this section of the river is 3km / h, and the still water velocity V of the ship to and fro remains unchanged. What conditions does V meet? 2. Lao Zhang and Lao Li bought the same number of breeding rabbits. One year later, the number of breeding rabbits raised by Lao Zhang increased by 2 compared with the number of breeding rabbits bought by Lao Li. Lao Li raised one less than twice the number of breeding rabbits bought by Lao Zhang, and the number of breeding rabbits raised by Lao Zhang did not exceed 2 / 3 of Lao Li's. how many breeding rabbits did Lao Zhang buy at least a year ago?
• 10. An applied problem of inequality system Xiexie, thank you
• 11. The problem of drawing number axis with the method of marked root >0 and 0 start up
• 12. Mixed problems of inequality and function~ If the function f (x) = TX ^ 2 - (22T + 60) x + 144t (x > 0) (1) to make f (x) ≥ 0 hold, find the minimum value of T; (2) to make f (x) = 0, find the value range of X to make t > 20 hold
• 13. Given the function f (x) = LNX + (1-x) / ax, a is a constant greater than zero For any integer greater than one, lnn > 1 / 2 + 1 / 3 + 1/N
• 14. The needle of quadratic inequality of one variable There is a problem of quadratic inequality of one variable. I will use the method of drawing a thread. The problem is like this （x+2）（x+1）² ≥0 ——————— x-3 This problem is reduced to (x + 2) (x + 1) & sup2; (x-3) ≥ 0 I don't know what to do with a square
• 15. Let a > b > 0, the incorrect one in the following inequality is a.ab2ab / (a + b)
• 16. It is proved that: (a + b-2ab) (a + b-2) + (1-ab) ^ 2 = (A-1) ^ 2 (B-1) ^ 2
• 17. Contains the absolute value inequality formula foundation question, urgent! |f(x)|＜g(x) ==> -g(x)＜f(x)＜g(x) |F (x) | > G (x) = = > F (x) > G (x) or F (x) < - G (x) Is there any requirement for G (x) to make the above two formulas hold? The above two formulas hold when G (x) > 0 is mentioned in my reference book But when the teacher says and writes the topic, don't g (x) > 0, you can use the above formula If there is no requirement for G (x), can we write the derivation process of the above two formulas?
• 18. Scaling! The best problem of inequality scaling! If x, y, Z, a, B, C, R > 0, it is proved that: (x+y+a+b）/（x+y+a+b+c+r)+（y+z+b+c)/(y+z+a+b+c+r) >(x+z+a+c）/（x+z+a+b+c+r) The letters are right Don't worry about it
• 19. High school mathematics inequality proof Verification: 1 / 2-1 / (n + 1)
• 20. Classical examples of inequality scaling method,