Suppose Zopf denotes the set of all integers, Zopf^+ denotes the set of all posi

Question

Suppose Zopf denotes the set of all integers, Zopf^+ denotes the set of all positive integers, and Zopf^- denotes the set of all negative integers. Similarly Ropf denotes the set of all real numbers, Ropf^+ denotes the set of all positive real numbers, and Ropf^- denotes the set of all negative real numbers. Suppose Nopf denotes the set of all natural numbers and Qopf denotes the set of all rational numbers. Enter "T" for each true, and "F" for each false statements. Ropf SubsetEqual Qopf Qopf SubsetEqual Zopf Zopf SubsetEqual Qopf Zopf^+ Intersection Zopf^- = 0 Qopf Union Zopf = Qopf Qopf Union Zopf = Zopf Nopf = Zopf^+ Zopf^+ SubsetEqual Qopf Qopf Intersection Ropf = Qopf The set of all irrational numbers is equal to Ropf Qopf Qopf Intersection Zopf = Zopf Zopf^+ Union Zopf^- = Zopf

Explanation / Answer

Answer :

1. F

2. F

3. T

4. T

5. T

6. F

7. T

8. T

9. T

10. T

11. T

12. F

Thank you

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