The maximum value problem of basic inequality Let x > 0, Y > 0, and XY (x + y + 1) = 1, then the minimum value of (x + y) (y + 1) is

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• 1. The maximum value of basic inequality a,b＞0.ab≥1+a+b Find the minimum of a + B?
• 2. Solving inequality system (solving method, process, format) 5x+6>4x 15-9x5x+1 11-2x
• 3. The selling price of a commodity is 150 yuan, and the profit of a commodity sold by the merchant is 10% ~ 20% of the purchase price. What is the range of the purchase price (accurate to 1 yuan) The inequality I listed is that x + x times 10% is less than or equal to 150 I write the second inequality separately. X + x times 20% is greater than or equal to 150 They form a system of inequalities
• 4. Solution set of inequality 2x-x with square = 0
• 5. The solution set of inequality (xsquare-2x-3) (x + 1) 0 is
• 6. |X ^ 2-2x | < 3 this is a problem of inequality in senior high school You can see it
• 7. Two simple high school inequality questions ~ speed 1. Proof: the square of a + the square of B ≥ AB + A + B-1 2. Verification: 2 (radical (n + 1) - 1) < 1 + 1 / (radical 2) + 1 / (radical 3) + +1 / (radical n) < 2 (radical n)
• 8. If a ＞ B ＞ C, n ∈ n *, and 1a − B + 1b − C ≥ Na − C holds, then the maximum value of n is______ ．
• 9. What are the methods of solving various inequalities in high school concrete
• 10. How to solve an inequality problem A. B is known to be a real number A & # 178; + B & # 178; + 5 ≥ 2 (2a-b) is an inequality, right
• 11. How to use the basic absolute value inequality to get the maximum value? Using the basic absolute value inequality to find the maximum value of y = | x-3 | + | x + 2 |? y=|x-3|-|x+2| What about a minus sign?
• 12. 10> The minimum value of 0,3x + 12 / x square, where x is taken as? be careful! Square on denominator!
• 13. Finding the best value of basic inequality It is known that 4A ^ 2 + B ^ 2 = 6 Finding the minimum of a + B The known condition is changed to a ^ 2 + 2 (b ^ 2) = 6 The minimum value of a + B is - 3, which should be solved by basic inequality.
• 14. Ratio (related to inequality) Given that X and y are real numbers, M = x ^ 2 + y ^ 2 + 1, n = x + y + XY, then the relation between M and N is
• 15. Solving inequality ratio -2
• 16. Inequality of ratio size Let a, B, C satisfy B + C = b-4a + 3 (A2), C-B = 4-4a + (A2), then the size relation of a, B, C? A2 is the square of A
• 17. Inequality ratio size X ^ 2 + y ^ 2 = 1 and 2 (x + Y-1) X ^ 2 + 5x + 6 and 2x ^ 2 + 5x + 9 When x > 1, x ^ 3 and x ^ 2-x + 1 Given a > b > 0, C > d > 0, verify the radical a / d > radical B / C x^2+y^2=1 change x^2+y^2+1
• 18. The size of comparative inequality Compare the size of (AAAA + BBBB) * (AA + BB) and (AAA + BBB) (AAA + BBB)
• 19. Comparison inequality size 1. Compare the size of X & # 178; + Y & # 178; + 5 and 2 (y-2x) 2. When x ≠ - 1, compare the size of 5x & # 178; + 6x-8 and 3x & # 178; + 2x-10
• 20. Inequality comparison in Senior High School It is known that 1 < a < 2, X ≥ 1, f (x) = a ^ x + A ^ (- x) / 2, G (x) = 2 ^ x + 2 ^ (- x) / 2 Compare the size of F (x) and G (x) Can you explain it? It's very difficult