A higher one solution absolute value inequality |X | > | a | is equivalent to A. X > plus or minus a B.-a | Math enthusiast | Mathematical art

A higher one solution absolute value inequality |X | > | a | is equivalent to A. X > plus or minus a B.-a

|x|>|a|>=0
So you can square both sides
x^2>a^2
x^2-a^2>0
(x+a)(x-a)>0
So x is greater than the larger one of a and - A
Less than the small one of a and - A
Because I don't know the sign of A
But | a | > = - | a|
So. X > | a | or X

RELATED INFORMATIONS

1. Ask for help to solve a high one absolute value inequality 5＜|2X+3|+X≤11 Hope to attach a detailed solution
2. The solution of three higher absolute value inequalities 1、|ax+b|>c,(c>0) 2、28
3. |2x+3|-|2x-5|>6 How to solve excuse me? Had better say specific point amount |1-2x | / | x | > - 1 also help.
4. Inequality with absolute value in the first grade of Higher Education Inequality | x + 2 | greater than or equal to | x I'm a preview. Don't laugh at me
5. A problem of absolute value inequality with parameters in the first grade of Higher Education If / X-1 / ≤ 2 and / x-a / ≤ 2 are known, the value range of X is obtained when a > 0; It's not comprehensive enough
6. The solution of inequality with absolute value in the first grade of Higher Education Given p = {a | A-1 | ≤ 2}, t = {a | A-B | ≤ 2}, if P ∩ t ≠ empty set, the value range of B is obtained This problem I calculate - 1 ≤ a ≤ 3, later want to ask how to do |ax+3|0,A={x||x-a|
7. The solution format of inequality with absolute value in higher one X-3 ≤ x I think the reference answers are written in x0 discussion The solution set is {x x ≥ 3 / 2} I have some ideas, but I don't know how to write them Because the examples in the book are not very deep. So I don't know how to write the format Another question: It is known that a = {X-1 ≥ a}, B = {X-6}
8. .. 1. 1 / 2-x ≥ 2 2. X + 1 of X │ > x + 1 of X 3.│x^2-3│
9. Given the set a = {x | X-2 | 0}, B = {x | x-3 | > 4, and a ∩ B = empty set, find the value range of real number C The answer is this: I only write part of it When 0
10. emergency There are two questions 1. When | X-2|
11. Practical problems (solved by inequality) There is a group of monkeys, a total of 149, one day to steal peaches, peach, if each monkey points five, then there is a monkey points Taenia less than five, you can find at least a few monkeys?
12. In order to build a "Scholarly Campus", a school plans to use no more than 1900 science and technology books and 1620 personal literature books to set up a total of 30 small and medium-sized book corners. It is known that to set up a medium-sized book corner, 80 science and technology books and 50 humanities books are needed; to set up a small book corner, 30 science and technology books and 60 humanities books are needed. (1) what are the construction plans in line with the theme How many? Please help the school design; (2) if the cost of setting up a medium-sized book corner is 860 yuan, and that of setting up a small book corner is 570 yuan, which one is the lowest in (1)? How much is the minimum charge?
13. How to solve the application problem of inequality If we use the existing chemical fertilizer to fertilize the paddy field, if we use 50 kg per hectare, then there is still 80 kg less; if we use 40 kg per hectare, then there is 220 kg more?
14. In a sales promotion, a store stipulates that consumers can enjoy a discount if they spend more than 200 yuan or more. A classmate buys a prize for his class and plans to buy 6 albums and several pens. It is known that each album costs 15 yuan and each pen costs 8 yuan. How many pens can he buy at least to get a discount?
15. Column inequalities to solve application problems A type a pump, which can pump 1.1 tons of water per minute, can pump water in half an hour. If B type pump is used, it is estimated that it can pump water in 20 minutes. How many tons more water can b type pump pump pump pump than a type pump per minute Use the system of linear inequalities of one variable to solve it! Using a type a pump which can pump 1.1 tons of water per minute to pump the pool can be finished in half an hour; if using B type pump, it is estimated that it can be finished in 20 to 22 minutes. How many tons more water can be pumped by B type pump than a type pump per minute? I'm sorry,
16. In order to support the reconstruction of the earthquake stricken area of Yushu, Qinghai Province, a company rented eight trucks of different models a and B to transport 250 cases of drugs and 370 cases of daily necessities to Yushu, Qinghai Province. It is known that a type a truck can transport 30 cases of drugs and 50 cases of daily necessities, and a type B truck can transport 50 cases of drugs and daily necessities Supplies 40 cases. What kind of car rental scheme do you have? Please help to design it
17. Column inequalities to solve practical problems If the sum of three consecutive positive even numbers is less than 13, what is the product of the three even numbers Pay attention to "column inequality system"
18. An elementary one column inequality system to solve application problems Both a and B run on the arc Road at the same speed. If they start from the same place at the same time and walk in opposite directions, they meet every two minutes. If they walk in the same direction, they meet every six minutes. It is known that a runs faster than B, how many laps do a and B run in each minute?
19. The system of inequalities in the application of inequalities The purchase price of a commodity is 150 yuan. When a merchant sells such a commodity, the profit of the commodity is 10% to 20% of the purchase price. What's the price range?
20. An applied problem of inequality system Xiexie, thank you