Subjects algebra

Sets Numbers

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Sets Numbers


1. Let's analyze the sets and terms given: - Set A = odd numbers. - Set B = prime numbers. 2. Find all common elements of sets A and B. - Odd numbers: 1, 3, 5, 7, 9, 11, ... - Prime numbers: 2, 3, 5, 7, 11, 13, ... The common elements (intersection) are odd primes: 3, 5, 7, 11, ... 3. Evaluate the terms: - Loss, MP-SP (assumed as market price - selling price), CP-SP (cost price - selling price) are terms related to profit and loss but no numerical values are given to evaluate further. 4. Disjoint sets and intersection: - Disjoint sets have no elements in common. - The intersection CP-SP implies finding commonality or relation between cost price and selling price. 5. Calculate area of triangle and height: - Given number 80656 but no base or height provided, so no calculation is possible now. 6. Evaluate \(\sqrt{0.0121}\): $$\sqrt{0.0121} = 0.11$$ 7. Given fraction 1/4 and reciprocal of 4: - Reciprocal of 4 is \(\frac{1}{4}\). 8. Analysis of number 53467: - Checking if multiple of 2: 53467 is odd, so not a multiple of 2. 9. Square of 284: $$284^2 = 80656$$ 10. Odd number: evaluates to odd or not. 11. Set A = {2,4,6,8,10,12} is actually even numbers, which contradicts initial A as odd numbers. 12. Direct proportion means variables increase or decrease together in same ratio. Final answers: - \(\sqrt{0.0121} = 0.11\) - Reciprocal of 4 = 1/4 - 284 squared = 80656 - 53467 is not multiple of 2 (since it's odd) - Intersection of odd numbers and prime numbers = set of odd primes (e.g., 3,5,7,11,...)