Indicate which of the following relationships are true and which are false: a. Z+ Q b. R

Chapter 6, Problem 13

(choose chapter or problem)

Indicate which of the following relationships are true and which are false:

a. \(\mathbf{Z}^{+} \subseteq \mathbf{Q}\)

b. \(\mathbf{R}^{-} \subseteq \mathbf{Q}\)

c. \(\mathbf{Q} \subseteq \mathbf{Z}\)

d. \(\mathbf{Z}^{-} \cup \mathbf{Z}^{+}=\mathbf{Z}\)

e. \(\mathbf{Z}^{-} \cap \mathbf{Z}^{+}=\emptyset\)

f. \(\mathbf{Q} \cap \mathbf{R}=\mathbf{Q}\)

g. \(\mathbf{Q} \cup \mathbf{Z}=\mathbf{Q}\)

h. \(\mathbf{Z}^{+} \cap \mathbf{R}=\mathbf{Z}^{+}\)

i. \(\mathbf{Z} \cup \mathbf{Q}=\mathbf{Z}\)

Text Transcription:

mathbf Z^+ subseteq mathbf Q

mathbf R^- subseteq mathbf Q

mathbf Q subseteq mathbf Z

mathbf Z^- cup mathbf Z^+ =mathbf Z

mathbf Z^- cap mathbf Z^+ = emptyset

mathbf Q cap mathbf R =mathbf Q

mathbf Q cup mathbf Z =mathbf Q

mathbf Z^+ cap mathbf R =mathbf Z^+

mathbf Z cup mathbf Q =mathbf Z