Determine whether the sets are equal, equivalent, both, or neither.
-$\{ \mathrm { x } \mid \mathrm { x }$ is a real number $\}$ and $\{ \mathrm { x } \mid \mathrm { x }$ is a rational number $\}$
A) Equivalent
B) Both
C) Neither
D) Equal

Question

Quizplus · Accepted Answer

The set of real numbers is not equal to the set of rational numbers because the set of real numbers includes all rational numbers and irrational numbers, while the set of rational numbers only includes rational numbers. The two sets are not equivalent because the set of real numbers is uncountable, while the set of rational numbers is countable.

Determine Whether the Sets Are Equal, Equivalent, Both, or Neither {x∣x\{ \mathrm { x } \mid \mathrm { x }{x∣x

Determine Whether the Sets Are Equal, Equivalent, Both, or Neither $\{ \mathrm { x } \mid \mathrm { x }$