Try to determine the value range of rational number a, so that the system of inequalities has exactly two solutions X / 2 + (x + 1) / 3 > 0 x + (5 A + 4) / 3 > 4 / 3 (x + 1) + a Please pay attention to the rational number! Brothers and sisters, help me to finish it tonight!

If there is a problem in your problem, the number of solutions is infinite, no matter whether it is rational or not

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1. Determine the value range of rational number a, so that the system of inequalities about x 1 / 2x + X + 1 / 3 > 0 (1) x + 5A + 4 / 3 > 4 / 3 (x + 1) + a (2) has exactly two integer solutions
2. How to solve the inequality where the square of 2x minus 2x plus 1 is greater than 4x minus x
3. 1. The inequality X & # 178; + 2x + 3 ≥ x + m holds for X ∈ [- 2,2], then the value range of M 2. If the inequality | x | + | 2x-3 | - a ＞ 0 holds, the value range of A Let y be a quadratic function, f (x) satisfy f (x + 1) = x & # 178; + X + 1 when x ∈ [- 1,2]. If the inequality f (x) > 2x + m holds, then the value range of real number m is constant
4. The solution of inequality M & # 178; X-1 about X
5. Given that m and N are real numbers, if the solution set of inequality (2m-n) x + 3m-4n ＜ 0 is x ＞ 49, find the solution set of inequality (m-4n) x + 2m-3n ＞ 0
6. Several high school two inequality math problems / urgent! 1. Given 3A ^ 2 + 2B ^ 2 = 5, find the maximum value of y = (2a ^ 2 + 1) (b ^ 2 + 2)? A ^ 2 means the square of A 2. A city uses 37 vehicles to transport a batch of relief materials to the disaster area. Assuming that the speed is v km / h, the route is known to be 400 km long. For safety, the distance between two vehicles should not be less than (V / 20) square kilometers. Then, what is the shortest time for all these materials to reach the disaster area? 3. Let a + B = 1, a > = 0, b > = 0, then the maximum value of a ^ 2 + B ^ 2? A ^ 2 means the square of A 4. Let x > 0, Y > 0, M = (x + y) / (2 + X + y), n = {X / (2 + x)} + {Y / (2 + y)}, then the size relation of M and N? If not, you can only answer yes!
7. 1、 ABC are all positive numbers, and a + B + C = 1 1/(a+b)+1/(b+c)+1/(a+c)>=9/2 2、 ABC is a positive number Prove a ^ 2 / B + B ^ 2 / C + C ^ 2 / a > = a + B + C
8. Given f (x) = x & # 178; - x + 43, the real number a satisfies | x-a|
9. When a < 5 is known, the solution set of the inequality ax ≥ 5x + A + 1 is______ ．
10. Compare the values of 3x2 + 4 and 2x2 + 4x by collocation method
11. If the system of inequalities about X {x > a x}
12. If x + 2 is greater than a and X-1 is greater than B, then a=_____ ,b=_____ . The solution set is - 1 less than x less than 2
13. We know the system of inequalities x ＞ - 1, X ≤ 1-k (1) If there is no solution to the system of inequalities, find the range of K; (2) If the inequality system has a solution, find the value range of K; (3) If the system of inequalities has exactly 2013 integer solutions, find the value range of K
14. (fill in the blanks with unequal sign) because | - 3 | - 4 |, so - 3 - 4 (fill in the blanks with unequal sign) because | - 3 | - 4 |, so - 3 - 4
15. When a takes any number that Na + 3 is not equal to 0, the value of formula (na-2) / (Na + 3) is a fixed value, where M-N = 6, find the value of M, n
16. Let the focus of parabola C: y = x ^ 2 be f, the moving point P move on the straight line L: x-y-2 = 0, and make two tangent lines PA and Pb of parabola C through P, which are tangent to parabola A and B respectively (1) Finding the trajectory equation of the center of gravity g of triangle APB (2) Prove ∠ PFA = ∠ PFB
17. Given that the chord ab of parabola y ^ 2 = 2x passes through the fixed point (- 2,0), the trajectory equation of the midpoint of the chord AB is obtained
18. If the midpoint of the chord PQ of the parabola y & # 178; = 2px (P > 0) is m (x0, Y0) (Y0 ≠ 0), then the slope of the straight line PQ is
19. Make a chord with slope k (K ≠ 0) through the focus of parabola y ^ 2 = 4x The chord meets the following requirements: 1. The chord length does not exceed 8; 2. The straight line where the chord is located intersects the ellipse 3x ^ 2 + 2Y ^ 2 = 2, and the value range of K is calculated,
20. Given that the coordinates of a and B are (0, - 5) and (0,5) respectively, and the product of the slope of Ma and MB is λ, the trajectory equation of M is solved and the trajectory shape of M is judged~ Detailed process It's OK to have an answer~