Finding the integer solution of inequality {x-3 (X-2) ≥ 4, (1 + 4x) / 3 > X-1

Finding the integer solution of inequality {x-3 (X-2) ≥ 4, (1 + 4x) / 3 > X-1


x-3(x-2)≥4
x-3x+6≥4
x≤1
(1+4x)/3>x-1
1+4x>3x-3
x>-4
-4



Solve the system of inequalities ① 3 (x + 2) > 4x + 2 ② 2 / 2 x > 3 / 3 X-1, and write the integer solution of the system of inequalities
Thanks for the process


3(x+2)>4x+2
3x+6>4x+2
4x-3x2x-2
x>-2
So - 2



Solving the system of inequalities - 4x-3 & lt; 5x-4 / 2 + X + 2 / 6 ≤ 1 / 3


-4x-3-3
x>-1/3
(x-4)/2+(x+2)/6≤1/3
3(x-4)+(x+2)



There is a box of books, Xiaohong took more than half of them, Xiaoli took the remaining half more than two, Xiaoqiang took the remaining half more than three, there are still two in the box
How many books are there in this box?


2 + 3 = 5 (Ben) 5 ﹣ 1 / 2 = 10 (Ben) 10 + 2 = 12 (Ben) 12 ﹣ 1 / 2 = 24 (Ben) 24 + 1 = 25 (Ben) 25 ﹣ 1 / 2 = 50 (Ben) answer: there are 50 copies in total
I hope I can help you!



If the solution set of inequality (2x-1) / 2 > (a + 2x) / 4 about X is the same as that of 4x-3a > - 1, the value of a is obtained


Multiply the first two sides by four
4x-2>2x+a
x>(a+2)/2
the second
x>(3a-1)/4
So (a + 2) / 2 = (3a-1) / 4
2a+4=3a-1
a=5



Given that a = 2x, B is a polynomial. When calculating B + A, a student regards B + A as B △ a, obtains x (2) + Half x, and finds B + a
(2) It's a power


x²+½x=B/A
B=(x²+½x)A
=2x³+x²
A+B=2x+2x³+x²



Given that the solution of inequality 4x-3a > - 1 is the same as that of inequality 2 (x-1) + 3 > 5, find the value of A
Write in detail
It's a


2(X-1)+3>5
2x-2+3>5
2x>5+2-3
2x>4
x>2
4x-3a>-1
x>-1+3a/4
1、-1+3a/4>2
2、-1+3a/4=2
3、-1+3a/4



Known (x-3) ^ 5 = a1x ^ 5 + a2x ^ 4 + a3x ^ 3 + a4x ^ 2 + a5x + A6
Why A1 = 1 = 1=


(x-3)^5=(x-3)(x-3)(x-3)(x-3)(x-3)
The highest power is 5, the coefficient is 1, there can be no other
That is, X * x * x * x = x ^ 5



Solve the system of inequalities {4x-35-1 / 2x


4x-3 4x-3 2x>-6 => x>-3
3/2x-1>5-1/2X => 3x-2>10-x => 4x>12 => x>3
Synthesis of Formula 1 and 2, x > 3



(1) Are there any negative numbers between - 1 and 0? Between - 2 and 0? If so, please give an example
(2) Are there any negative integers between - 3 and - 1? What integers are there between - 2 and 2?
(3) Is there a negative integer larger than - 12?
(4) Write three numbers less than - 100 and greater than - 103
Third, is there an integer larger than - 1? No - 12, wrong number,


(1) Is there any negative number between - 1 and 0? Yes. For example: - 0.1-2 and 0, for example: - 1, - 1, - 0.1 (2) - 3 and - 1? Yes. For example: - 2-2 and 2, which integers - 1,0,1 (3) have integers larger than - 1? Yes. For example: 0,1,2,3,4,5