When does inequality change sign in calculation Is it necessary to change sign when adding, subtracting, multiplying and dividing negative numbers? For example?

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• 1. High school inequality comparison size Given that a ≠ 0, compare the size of (a ^ 2 - √ 2A + 1) (a ^ 2 - √ 2A + 1) and (a ^ 2 + A + 1) (a ^ 2-A + 1) To write simplification, I forgot how to write simplification~
• 2. Let m > N, n ∈ n *, x > 1, a = (lgx) m + (lgx) - m, B = (lgx) n + (lgx) - N, then the relation between a and B is () A. A ≥ BB. A ≤ BC. It is related to the value of X, the size is uncertain. D. all the above are incorrect
• 3. 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
• 4. 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
• 5. The size of comparative inequality Compare the size of (AAAA + BBBB) * (AA + BB) and (AAA + BBB) (AAA + BBB)
• 6. 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
• 7. 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
• 8. Solving inequality ratio -2
• 9. 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
• 10. 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.
• 11. When will inequality change its sign? for example -X is greater than or equal to - 9 Is it a success X is less than or equal to 3?
• 12. Who can explain the inequality of solving fractional equation
• 13. Let f (x) = x ^ (3 / 2 + K · 1 / 2 k-square) [K ∈ Z] (1) If f (x) is an even function and an increasing function on (0, + ∞), the analytic expression of F (x) is obtained (2) If f (x) is a decreasing function on (0, + ∞), find the value range of K
• 14. If the power functions f (x) and G (x) pass through the points (2, root 2), (- 2,4) respectively, ① find the analytic expressions of F (x) and G (x); ② find f (x)
• 15. (logarithm and inequality) Given that the real number m satisfies the inequality log3 (1-1 / M + 2) > 0, try to solve the inequality (x-1) [(M + 3) x-m] > 0
• 16. High school mathematics. Logarithmic inequality problem What are the answers to Log1 / 8 x 〉 1 / 3 and Log1 / 8 x 〈 - 1 / 3? How to solve this kind of logarithmic inequality, with fractions, negative numbers See dizzy. Have what method
• 17. The problem of power function in high school mathematics It is known that the power function f (x) = x ^ (1 / 2p ^ 2 + P + 3 / 2), (P ∈ n), is an increasing function on (0, + ∞), and is an even function on the domain of definition (1) Find the value of P and write the explanation of the corresponding function f (x) (2) For the function f (x) obtained in (1), let g (x) = - Q [f (x)] + (2q-1) f (x) + 1, and ask whether there is a real number Q (q)
• 18. Solutions to exponential inequality and logarithmic inequality
• 19. What is exponential logarithm inequality?
• 20. How to find the inequality of logarithm and exponent? The inequality 3x ^ 2 is known