Answer to Question #237477 in Discrete Mathematics for mryn

Question

write the following sets by listing their elements between braces

Answer 1

A.

2. $\{3x+2:x\in Z\}=\{...,-4,-1,2,5,8,11,14,...\}.$

4.

$\{x\in N:-2<x\leq7\}=\{-1,0,1,2,3,4,5,6,7\}.$

6.

$\{x \in R:x^2=9\}=\{-3,3\}.$

8.

$\{x\in R:x^3+5x^2=-6x\}=\{-3,-2,0\}.$

10.

$\{x\in R:\sin{πx}=0\}=\{...,-3,-2,-1,0,1,2,3,...\}.$

B.

18.

$\{0,4,16,36,64,100,...\}=\{x\in Z:(2x)^2\}.$

20.

$\{...,-8,-3,2,7,12,17,...\}=\{x\in Z:5x-3\}.$

22.

$\{3,6,11,18,27,38,...\}=\{x\in N:x^2+2\}.$

24.$\{-4,-3,-2,-1,0,1,2\}=\{x \in Z:-4\leq x\leq 2\}.$

26.

$\{...,\frac{1}{27},\frac{1}{9},\frac{1}{3},1,3,9,27,...\}=\{x \in Z:3^x\}.$

C.

30.

$|\{\{1,4\},a,b,\{\{3,4\}\},\{\varnothing\}\}|=5.$

32.

$|\{\{\{1,4\},a,b,\{\{3,4\}\},\{\varnothing\}\}\}|=1.$

34.

$|\{x\in N:|x|<10\}|=9.$

36.

$|\{x\in N:x^2<10\}|=3.$

38.

$|\{x \in N:5x\leq 20\}|=4.$