Question

If A={2x/x€N and x<3},B={x/x^2-4x+3 =0 and x>1} then A*B=

Answer 1

Answer:

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Answer 2

Answer:

We get the product as: A×B={{2,1},{2,3},{4,1},{4,3}}

Step-by-step explanation:

Multiplication is one of the operations of mathematics that is used to obtain the product of two numbers or variables.

First let us see for A:

A=2x   when x<3

A={2,4}

Then let us see for B:

B=x   given that x²-4x+3=0

Factorizing the equation to obtain the values of B:

x²-3x-x+3=0

x(x-3)-1(x-3)=0

(x-1)(x-3)=0

x=1,3

So we get the values of B as:

B={1,3}

Now, we need to find the product of A and B:

So, we will do it by:

A×B={2,4}×{1,3}

Simplifying it further, we get that:

A×B={{2,1},{2,3},{4,1},{4,3}}

Therefore, we get that the product of  A×B ie equal to {{2,1},{2,3},{4,1},{4,3}}.

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