Question

what is the set {x :x £R ,x²=9 ,2x=4}​

Answer 1

We recall the concept of set.

Set is a collection of objects.

Given:

$({x:x^{2} =9,2x=4)$

$x^{2}=9$

$x=+-3$

$2x=4$

$x=2$

Set is {$-3,2,3$}

Answer 2

The set S includes S={-3, 2, 3}

Set

• A set is a mathematical version of a collection of various things.

• A set incorporates elements or members, which may be mathematical items of any kind: numbers, symbols, factors in space, lines, different geometrical shapes, variables, or maybe different sets.

Set illustration method

• A set may be represented in  ways: Set Builder form and Tabular form

• Here the given set we say S is represented in the form of the set constructor.

• We want to transform it into a tabular shape.

Given that

         S={x | x ∈ R, x²=9, 2x=4}

         for x²=9 ==> x = ±3

         so x = -3, 3

         Also for 2x=4 ==> x=2

         so x=2

Hence the set S includes S={-3, 2, 3}