Define a set X by • 4 EX If a E X, then -x-12 € X - x² € X Prove that every element of X is divisible by 4.

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A: Given,          2x-1≥x-4

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Q: Q.3 Explain operations on classical / crisp sets

A: There are various operations on Classical sets.   The first kind of operation is Union. The union of…

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Q: Pzif akb then [a,b]-(- All of a,b are in real numbers

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A: Given: Ω set of all real numbers To find: Solution

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A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

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A: The objective is to prove that , where  is a real number.The inequality  is equivalent to .

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Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statement ,  P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…

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A: Introduction: In Maths, sets are a collection of well-defined objects or elements. A set is…

Q: 1. Show that if P(A) > 0, then P(AB|A) > P(AB|AUB)

A: Show that if P(A) &gt; 0 thenP(AB|A) &gt; P(AB|AUB)

Q: Evaluate each of the expressions in a -j (if evaluation is not possible, or undefined, write NULL)…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…