If x and y are real numbers with x < y, then there is a rational number q in the interval [x, y]. If R ⊆ S, then S is uncountable. If (xn) converges, then (|xn|) converges. Every infinite subset of an uncountable set is uncountable.   TRUE  OR FALSE   Please solve all four part

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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  1. If x and y are real numbers with x < y, then there is a rational number q in the interval [x, y].

  2. If R ⊆ S, then S is uncountable.

  3. If (xn) converges, then (|xn|) converges.

  4. Every infinite subset of an uncountable set is uncountable.

 

TRUE  OR FALSE

 

Please solve all four part

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