On the linear inequality of one variable If the inequality (3a-2) x + 42, then a must satisfy_____________ (please write the process) Inequality-3 (x + 2)

On the linear inequality of one variable If the inequality (3a-2) x + 42, then a must satisfy_____________ (please write the process) Inequality-3 (x + 2)


3ax-2x+1(-m-8)/3
Because a positive integer is a natural number greater than zero
therefore
(-m-8)/3>0
m



On linear inequality of one variable
If inequality system
3x-1 is greater than or equal to a + 1
2-x>1-2a
There is no solution to this system of inequalities. Find the value range of a (please specify the reason)


From the first, we get that x is greater than or equal to a + 2 / 3
From the second we get that x is less than 1 + 2A
Because there is no solution greater than the large and less than the small, a + 2 / 3 is greater than 1 + 2a, and a is less than or equal to - 1 / 5



A manuscript has 30200 words, which should be typed in 8 hours, and 600 words in the first hour. How many words should be typed at least in the remaining time to complete the task on time?


600 words in the first hour,
30200-600 = 29600 words left,
It should be completed within 7 hours, so it is set to type X every hour in the future. 7x > = 29600, x > = 29600 / 7 is about 4228.6
Carry method, so the remaining time at least to type 4229 words per hour
A: at least 4229 words per hour to complete the task on time



If the product of seven rational numbers is negative, how many possibilities are there for the number of negative factors?


Four
They were 1, 3, 5 and 7 respectively



Y = the square of X - 4x + 3, the parabola and the axis of symmetry can be obtained by the collocation method


Y = x ^ 2-4x + 3 = x ^ 2-4x + 4 + 3-4 = (X-2) ^ 2-1, the axis of symmetry is x = 2



X^3-6X^2+11X-6=0


x³-6x²+11x-6=0x³-2x²-4x²+8x+3x-6=0x²(x-2)-4x(x-2)+3(x-2)=0(x-2)(x²-4x+3)=0(x-2)(x-1)(x-3)=0x-2=0,x-1=0,x-3=0x1=2,x2=1,x3=3



Given that the solution sets of inequality 3 / 4 X-1 > x and MX-5 > 4x are the same, the value of M is obtained


3x/4-1>x
The solution is x4x
(4-m)x



There's an approximation calculator
1.999 to 0.01 67294 to ten thousand bits 5864 omit the mantissa after the hundred bits 0.03049 to the thousandth


2.00 6.7294 5900 0.030



Solving quadratic equation of one variable
Solve the following equation
1、(x-2)^2=4(2x+3)^2
2、y^2+2√2y-4=0
3、(x+1)^2-3(x+1)+2=0
4. X ^ 2 + 2ax-3a ^ 2 = 0 (a is constant)
5: Solve the equation and judge the root of the following equation
(1)2t=√5(t^2+1/5)
(2) On the equation x ^ 2-2 (M + 1) x + m ^ 2-2 = 0
6. It is proved that the equation x ^ 2 - (M + 2) x-4 = 0 of X must have real roots
7. Solve the equation and judge the root of the following equation
(1) 1/2x(√3x-√2)=-1
(2) 3y^2+2=2√6y
Help me to solve these problems, which method to use,


1. (X-2) ^ 2-4 (2x + 3) ^ 2 = 0. [1-4 questions, you can use factorization method to solve equation] [X-2 + 2 (2x + 3)] [(x-2-2 (2x + 3) = 0. (5x + 4) (- 5x-8) = 0. X1 = - 4 / 5, X2 = - 8 / 8.2. (y + √ 2) ^ 2-2-4 = 0. (y + √ 2) ^ 2 = 6. Y + √ 2 = - 6. Y = - 2 ± √ 6. Y1 = - 2 + √ 6; y2 = - 2 - √ 6.3. (...)



On the local boundedness of function limit
Why is a function locally bounded when it has a limit? A function without a limit is also bounded in a neighborhood


Local boundedness and function having limit at a certain point are two different concepts. It just means that if a function has limit at a certain point, then the function is bounded in a hollow δ neighborhood of the point, that is to say, the function is locally bounded