Monday, April 22, 2013

What Do X Mean in Math

Introduction to math variable x means:

In mathematics a variable is a symbol that stands for a value that may vary; the term usually occurs in opposition to constant, which is a symbol for a non-varying value, i.e. completely fixed or fixed in the context of use. The concepts of constants and variables are fundamental to all modern mathematics, science, and engineering .Here we are going to study about what is math variable x means and how to solve the value of x with example problems.    (Source from Wikipedia).

Example problems :


Math example: 1

Find the value of |x+3| = 0

Solution:

Here x means the modulus value

We have take -(x+3) and x +3

-x -3 = 0

Add the +3 both sides

-x = 3

x = -3

Similarly   x + 3 = 0

Add both sides -3

x + 3-3 = -3

x = -3

Therefore the solution x = -3, -3

Math example 2:

Solve for x in the equation 4x + 6 + 6x = 46

Solution:

Here x means unknown value we have to find the x value.

First we have to combine the like terms here the like terms are x.

4x + 6x = 10x

10x + 6 = 46

Add both sides -6 we get

10x + 6 - 6 = 46 -6

10x = 40

Divide both sides 10 we get

x = 40/10

x = 4

Therefore the value of x = 4



Some more examples of x mean in math:


Math problem 3:

4x+3+2x + 5 > 2x+4

Solution:

Here x means inequality variable we have to find the x value

In the left hand side combine the like term first

4x+3+2x +5 > 2x+4

6x + 8 > 2x + 4

Add both sides -4 we get

6x + 8 - 4 > 2x + 4 - 4

In right hand side 4 - 4 will be cancelling

6x+ 4 > 2x

Add both sides -2x

6x -2x + 4 > 2x -2x

4x + 4 > 0

Add both sides -4 we get

4x + 4 -4 > -4

4x > -4

Divide both sides 4 we get

(4x / 4) > - `(4/4)`

x > - `(4/4)`

x > -1

Therefore the x value greater than -1

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