Question

Define outer measure of a set. If $\large\rm{ m*}$ denotes the outer measure of a set then prove that $\large\rm { m* (A) \leq m* (B) }$ if $\large\rm { A \subseteq B}$ .​

Answer 1

Answer:

measurable set was defined to be a set in the system to which the extension can be realized; this extension is said to be the measure. Thus were defined the Jordan measure, the Borel measure and the Lebesgue measure, with sets measurable according to Jordan, Borel and Lebesgue, respectively.

Answer 2

$\huge \bold \red {\underline{Answer}} \:$

• Liquid have fixed volume but not have fixed shape. It can easily flow. The molecules of liquid are loosely packed.