This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Aïcha🥰😍💝🌹👑🕋, good to see you again. Here are the symbols to replace the dots for Exercise 1, Question 1: Step 1: Determine the relationship between 5 and Z. 5 is an integer, and Z is the set of all integers. Therefore, 5 is an element of Z. 5 Z Step 2: Determine the relationship between 5 and P(Z). P(Z) is the power set of Z, meaning its elements are subsets of Z. 5 is an integer, not a set, so it cannot be an element of P(Z). 5 P(Z) Step 3: Determine the relationship between \5\ and Z. \5\ is a set containing the integer 5. Since 5 is an element of Z, the set \5\ is a subset of Z. \5\ Z Step 4: Determine the relationship between \5\ and P(Z). As established in Step 3, \5\ is a subset of Z. The elements of P(Z) are precisely the subsets of Z. Therefore, \5\ is an element of P(Z). \5\ P(Z) Step 5: Determine the relationship between \-2, (1)/(4)\ and P(Z). For \-2, (1)/(4)\ to be an element of P(Z), it must be a subset of Z. The element (1)/(4) is not an integer ((1)/(4) Z). Since not all elements of \-2, (1)/(4)\ are in Z, the set \-2, (1)/(4)\ is not a subset of Z. Consequently, it cannot be an element of P(Z). \-2, (1)/(4)\ P(Z) Here are the completed statements: 1. 5 Z 2. 5 P(Z) 3. \5\ Z 4. \5\ P(Z) 5. \-2, (1)/(4)\ P(Z) Send me the next one 📸