![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Given | x | ≤ 1, | y | ≤ 1, and u = | x + y | + | y + 1 | + | 2y-x-4 |, what is the sum of the maximum and minimum value of u?
Because | x | ≤ 1, | y | ≤ 1
So y + 1 ≥ 0,2y-x-4
RELATED INFORMATIONS
- 1. Let x > 0, Y > 0 and X + 2Y = 1, find the minimum value of (1 / x) + (1 / y) It's a process Please use the basic inequality to solve the problem Because I didn't learn Cauchy's inequality in my freshman year
- 2. If x and y are positive R, 2 / x + 1 / y = 1, then the minimum value of X + 2Y is I know how to do it. Find the easiest one I'm 2Y + x = XY Then use the basic inequality to do
- 3. If x and Y belong to R +, 1 / x + 1 / y = 2, find the minimum value of X + 2Y
- 4. Given that X and Y belong to R + and X + 2Y = 1, find the minimum value of 1 / x + 1 / Y and the value of X and y when the minimum value is obtained
- 5. Let X and Y belong to R, x ^ 2 + 2Y ^ 2 = 6, then the minimum value of X + y is
- 6. If x > 0, Y > 0 and X + 2Y = 3, then the minimum value of 1 / y + 1 / y is 0
- 7. (Science) if x and y satisfy the constraint condition x ≥ 0 x + 2 y ≥ 32 x + y ≤ 3, then the minimum value of Z = X-Y is______ ．
- 8. If x and Y in Z = 2x + y satisfy the constraint conditions x-2y + 5 > = 0; 3-x > = 0; X + Y > = 0, then the minimum value of Z is
- 9. Mathematics (algebra) (X2-x+1)6=a0x12+a1x11+a2x10+… +a12, Ask for: （1） a0+a1+a2+… +a12 （2） a0+a2+a4+… +a12 Note: X is followed by the power, a is followed by the number in the lower right corner
- 10. A math problem (algebra problem) If Mn is a real number and one root of the equation x ^ 2 + MX + n = 0 is four times of the other root, then the relationship between M and N is () A.4m²+25n=0 B.2n²+25=0 C.4m²-25n=0 D.4n²-25n=0
- 11. Known | x|
- 12. (Innovation Extension) known {X-Y + 2 > = 0, x + y-4 > = 0,2x-y-5
- 13. If x > 0, Y > 0, and X + 2Y = 4, then the minimum value of 1x + 2Y is 0___ ．
- 14. If x ^ 2 + y ^ 2 = 4, then the minimum value of x ^ 2 + 2Y is
- 15. Given x + 2Y = 1, find the minimum value of 2 / x + 1 / y
- 16. Given | X-7 + | y + 13 | = 0, find the value of 3x + 2Y
- 17. On the system of equations x + y = a, 3x-2y = 7, x > y, then what conditions should a satisfy
- 18. According to the rule x △ y = 3x-2y, then x △ (4 △ 1) = 7, find x =? (the four operation rules remain unchanged)
- 19. It is stipulated that x triangle y = 3x-2y, and known that x triangle (4 triangles 1) = 7
- 20. Rule: X △ y = 3x-2y, known x △ 4 △ 1 = 7, find the ratio of X