False! Take \(b=c=2\) and \(a=4.\)

Then clearly a does not divide b nor c, but a divides bc.

asked 2020-11-03

Let \(A={x \in R|-1<x\ \text{underset}(-)(<)0}\ and\ B={x \in R|0\ \text{underset}(-)(<)X<1}\)

a:find \(A \cup B\)

b:Find \(A \cap B\)

c:Find \(A^c\)

asked 2021-01-19

Prove that

\(\displaystyle{F}_{{n}}=\frac{1}{{4}}{\left({F}_{{{n}-{2}}}+{F}_{{n}}+{F}_{{{n}+{2}}}\right)}\)

asked 2021-02-09

asked 2021-03-11

is this true or false \({6, {a, b, c}, {b, c, 8}} = {6, {a, b, c}, {b, c, 8}, \not{0}}\)

asked 2021-02-27

a:\(2\in\{1,2,3\}\)

b:\(\{2\}\in\{1,2,3\}\)

c:\(2\subset\{1,2,3\}\)

d:\(\{2\}\subset\{1,2,3\}\)

e:\(\{2\}\subset\{\{1\},\{2\}\}\)

f:\(\{2\}\in\{\{1\},\{2\}\}\)

asked 2020-12-31

asked 2021-04-30

asked 2021-02-25

Let a, b, c, \(\displaystyle{m}\in{Z}\) such that m > 1. If \(\displaystyle{a}{c}\equiv{b}{c}{\left(\mod\right)},{t}{h}{e}{n}\ {a}\equiv{b}{\left(\mod{m}\right)}\)

asked 2021-02-27

A Counterexample to the statement, If \(\displaystyle{a}\equiv{b}\pm{o}{d}{m}\) and \(\displaystyle{c}\equiv{d}\pm{o}{d}{m}\), where a,b,c,d, and m are integers with c and d positive and \(\displaystyle{m}\geq{2}\), then \(\displaystyle{a}^{{{c}}}\equiv{b}^{{{d}}}\pm{o}{d}{m}\).

asked 2021-03-08

In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of \(j - k\)?

A)3

B)4

C)5

D)6