Can you simplify 3(x+2) = 3x+6 in distributive property

Mathematics

2 answers:

Vanyuwa [196]2 years ago

3 0

Hello XD

3(x+2) = 3x+6

Distributive property

(3)(x)+(3)(2) = 3x+6

3x+ 6 = 3x+6

Now subtract 3x from both sides

3x+6-3x = 3x+6-3x

6=6

Subtract 6 from both sides

6-6 = 6-6

0=0

In this case the answer is : All real numbers are solution

tankabanditka [31]2 years ago

3 0

Ok so

remember the distributive property

a(b+c)=ab+ac

so
3(x+2)=3x+6
we have
3x+6=3x+6
identical
now watch
minus 3x both sides
6=6
true staement

therefor any number you put for x will work

answer is all real numbers

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Answer:

The answer is $\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}$

Step-by-step explanation:

Remember that a reflexive relation $R\subset \mathcal{P}(X)$ , where $\mathcal{P}(X)$ is the power set of $X$ , is one which conteins the ordered pairs of the form $(a,a)$ , for $a\in X$ .

So, As the reflexive and transitive closure of $R$ (that we will denote by $\overline{R}$ ) is in particular reflexive, we must add to $R$ the elements $\{(1,1) , (2,2),(3,3),(4,4) \}$

A transitive relation $R$ is one in which if the pair $(a,b)$ and the pair $(b,c)$ are in there, then the pair $(a,c)$ must be there too.

So, to complete the relation $R$ to be reflexive and transitive we must add the pair $(1,3)$ (because $(1,2),(2,3)$ are in $R$ ), the pair $(2,4)$ , and the pair $(1,4)$ because we added the pair $(2,4)$ .