Given that the solution of equation (x-4 / 2) - A + 1 = x is suitable for inequality - 1 / 2 x ≤ - 1 and X-2 ≤ 0. Find the value of A

Given that the solution of equation (x-4 / 2) - A + 1 = x is suitable for inequality - 1 / 2 x ≤ - 1 and X-2 ≤ 0. Find the value of A


I think what you said (two times x-4) is about two times (x-4). If so, then the equation should be as follows:
(x-4) / 2-A + 1 = X
Solving equation (x-4) / 2-A + 1 = x
  x/2-2-a+1=x
x=-2(a+1)
From the meaning of the question, we can see that x = - 2 (a + 1) is suitable for the inequality - 1 / 2 x ≤ - 1 and X-2 ≤ 0, then we can get the inequality system
{-1/2×[-2(a+1)]≤-1 ①
{-2(a+1)-2≤0    ②
To solve the inequality (1)
a+1≤-1
a≤-2
Solve inequality 2
-2a-4≤0
a≥-2
Therefore, the solution of the inequality system is a ≤ - 2 and a ≥ - 2
So, a = - 2
That is to say, the value of a is a = - 2



Solving inequality | 4 | x | - 1 | greater than or equal to 9


|4|X|-1|>=9
4 | x | - 1 > = 9 or 4 | x | - 1 = 9,4 | x | > = 10, | x | > = 5 / 2
So, x > = 5 / 2 or X



Solving inequality (5x + 4) / 0.6 ≥ 7 / 0.8 - (1-x) / 0.3


(5x+4)/0.6≥7/0.8-(1-x)/0.3
The brackets are removed and the result is: 5x ≥ - 5 / 4
So x ≥ - 1 / 4



1,|1/2x+1|>=2、2,|5x-4|


Alas, now junior high school students should study hard. Many things still depend on themselves. I can help you for a while, but who will help you in the exam?



The average of the three numbers is 6, and the ratio of the three numbers is 12:23:56. The largest of the three numbers is 6______ .


3 × 6 = 18, 12:23:56 = 3:4:5, 18 × 53 + 4 + 5, = 18 × 512, = 7.5



The fast and slow trains run from a and B, and meet at one sixth of the distance from the midpoint of ab. what is the speed ratio of the fast train to the slow train


(1/2+1/6):(1/2-1/6)=2:1



In the first 300 natural numbers, what is the sum of all the numbers that are not perfect squares?


In the first 300 numbers, all the complete squares are 0,1,4,9,16,25,36,49,64,81100121144169196225256289,
The sum of all perfect squares is 1785
The sum of the numbers from 0 to 299 is 0 + 1 + 2 + 3 + 4 +299=150*301-300=44850
So the sum of all numbers that are not perfect squares is 44850-1785 = 43065
0 should be a natural number
I didn't expect a simpler method
Just accept it
On whether 0 is a square number:
At present, most of the mathematical circles in foreign countries stipulate that 0 is a natural number. For the convenience of international exchange, the national standard stipulates that the set of natural numbers includes 0. Therefore, in our newly published textbook, this kind of treatment is carried out according to the national standard. The original set of natural numbers is now called a positive integer set, We also use some mathematical symbols according to the national standard



On the map of China with a scale of 1:6000000, the distance between the two places measured is 10 cm. A and B trains leave each other from the two places at the same time. Six hours later
Encounter. It is known that the speed ratio of car a and car B is 11:9. When two cars meet, how many kilometers does car a travel?


Actual distance = 10 * 6000000 = 6000000cm = 600km
A car line = 600 ÷ (11 + 9) × 11 = 330 km



If x, y, a are R + and √ x + √ y


The reduction of the square terms on both sides leads to (a ^ 2-1) (x + y) ≥ 2 √ (XY)
Transform to a ^ 2-1 ≥ 2 √ (XY) / (x + y)
If we make it permanent,
The minimum value of a ^ 2-1 should be greater than or equal to the maximum value of 2 √ (XY) / (x + y), and (x + y) ≥ 2 √ (XY)
So the maximum value of 2 √ (XY) / (x + y) is 1
So if a ^ 2-1 = 1, the minimum value of a is the root sign 2



A fleet transports a pile of coal. On the first day, it transports 16 tons of this pile of coal. On the second day, it transports 30 tons more than the first day. At this time, the ratio of the transported coal to the remaining tons is 7:5. How many tons are there in this pile of coal?