## 2013/07/26

### Easy Math of Linear (Equations and Inequalities) One Variable

Label:
Easy Math

Math of Linear (Equations and Inequalities) One Variable

Completion of the set of graphs of linear equations of the variables shown in a number line, in the form of dot (point).

example

Determine the completion of the set of equations

4 (2x + 3) = 10x + 8, if x

variables on the set of integers. Then, draw the number line

completion:

4 (2x + 3) = 10x + 8

8x + 12 = 10x + 8

8x + 12 - 12 = 10x + 8-12 (both sides minus 12)

8x = 10x - 4

8x - 10x = 10x - 4 - 10x (10x minus both sides)

-2x = -4

-2x: (-2) = -4 (-2) (both sides are divided by -2)

x = 2

Thus, the solution set is {2}.

Easy Math of Linear Inequalities One Variable

In everyday life, surely you've come across or find sentences like the following.

a. Rebbecca weigh more than 52 kg.

b. Josh height 7 cm less than my height.

c. One of the requirements to be members of the Army is his height not less than 165 cm.

d. A bus can carry no more than 55 people.

How sentences are expressed in the form of mathematical sentence? To be able to learn to answer the following description.

1. understanding inequality

In order for you to understand the sense of inequality, try to remember back in elementary school about the matter in writing notation <,>,

a. 3 less than 5 written 3 <5.

b. 8 more than 4 written 8> 4.

c. x no more than 9 written x

d. Two times y is not less than 16 written 2y

Sentences 3 <5, 8> 4, x

In general it can be written as follows.

An inequality is always marked by one of the following hyphen.

"<" For less than stated.

">" To declare over.

"

"

2. Linear Inequalities One Variable

On the front you have learned that an equation is always marked with a hyphen "=". In this section you will learn the characteristics of an inequality.

example

Of the following forms, which specify a linear inequality with one variable.

a. x - 3 <5

b. A

c. x2 - 3x

completion:

a. x - 3 <5

Inequality x - 3 <5 has one variable, namely x and rank 1, so x - 3 <5 is a variable linear inequality.

b. A

Inequality a

Thus a

c. x2 - 3x

Due to the inequality x2 - 3x

Completion of the set of graphs of linear equations of the variables shown in a number line, in the form of dot (point).

example

Determine the completion of the set of equations

4 (2x + 3) = 10x + 8, if x

variables on the set of integers. Then, draw the number line

completion:

4 (2x + 3) = 10x + 8

8x + 12 = 10x + 8

8x + 12 - 12 = 10x + 8-12 (both sides minus 12)

8x = 10x - 4

8x - 10x = 10x - 4 - 10x (10x minus both sides)

-2x = -4

-2x: (-2) = -4 (-2) (both sides are divided by -2)

x = 2

Thus, the solution set is {2}.

Easy Math of Linear Inequalities One Variable

In everyday life, surely you've come across or find sentences like the following.

a. Rebbecca weigh more than 52 kg.

b. Josh height 7 cm less than my height.

c. One of the requirements to be members of the Army is his height not less than 165 cm.

d. A bus can carry no more than 55 people.

How sentences are expressed in the form of mathematical sentence? To be able to learn to answer the following description.

1. understanding inequality

In order for you to understand the sense of inequality, try to remember back in elementary school about the matter in writing notation <,>,

__<__,__>__, and not same.a. 3 less than 5 written 3 <5.

b. 8 more than 4 written 8> 4.

c. x no more than 9 written x

__<__9.d. Two times y is not less than 16 written 2y

__>__16.Sentences 3 <5, 8> 4, x

__<__9, and are called the inequality 2y__>__16 .In general it can be written as follows.

An inequality is always marked by one of the following hyphen.

"<" For less than stated.

">" To declare over.

"

__<__" to represent no more than or less than or equal to."

__>__" to represent not less than or more than or equal to.2. Linear Inequalities One Variable

On the front you have learned that an equation is always marked with a hyphen "=". In this section you will learn the characteristics of an inequality.

example

Of the following forms, which specify a linear inequality with one variable.

a. x - 3 <5

b. A

__<__1 - 2bc. x2 - 3x

__>__4completion:

a. x - 3 <5

Inequality x - 3 <5 has one variable, namely x and rank 1, so x - 3 <5 is a variable linear inequality.

b. A

__<__1 - 2bInequality a

__<__1 - 2b has two variables, namely a and b, each of which rank 1.Thus a

__<__1 - 2b is not a single variable linear inequalities.c. x2 - 3x

__>__4Due to the inequality x2 - 3x

__>__4 has variable x and x2, then x2 - 3x__>__4 is not a single variable linear inequalities in Easy Math of Linear.

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