Math 8 Inequalities

Introduction to math 8 inequalities:

In mathematics, an inequalities is a statement about the relative size or order of two objects or about whether they are the same or not.

· The notation a < b means that a is less than b.
· The notation a > b means that a is greater than b.
· The notation a ≠ b means that a is not equal to b.
In this article we shall discuss about math 8 inequalities. (Source: wikipedia)

Please express your views of this topic Solving Compound Inequalities by commenting on blog.

Math inequalities example problem


Example:

Solving the inequalities 4x – 8 > 2x +10

Solution:

The given inequalities is

4x – 8 > 2x +10

Adding the 8 on both side of inequality equation

4x -8+8> 2x +10+8

4x>2x+18

Subtract 2x on both side of the inequality equation

2x>18

Simplifying the x

x>18/2

x>9

Example:

Solving the following inequality equation -3< 4(x+3)-3<16

Solution:

Given inequality equation is

-3< 4(x+3)-3<16

Multiply the factor values for given equation

-3<4x+12-3<16

-3<4x+9<16

Subtracting nine on both sides of inequality equation

-3-9<4x+9-9<16-9

-12<4x<7

Divide by 4 for all terms

-3<x<1.75

Conclusion:

The solution includes all real number value the interval is (-3, 1.75)

Example:

Solving the following inequality equation -2< 4(x+6)-3<10

Solution:

Given inequality equation is

-2< 4(x+6)-3<10

Multiply the factor values for given equation

-2<4x+24-3<10

-2<4x+21<10

Subtracting 21 on both sides of inequality equation

-3-21<4x+21-21<10-21

-24<4x<-11

Divide by 4 for all terms in equation

-6<x<-2.75

Conclusion:

The solution includes all real number value the interval is (-6, -2.75)

Example:

Solving the inequality 2x – 6 > 2x +12

Solution:

The given inequality is

2x – 6 > 2x +12

Adding the 6 on both side of inequality equation

2x -6+6> 2x +12+6

2x>2x+18

Subtract 2x on both side of the inequality equation

2x>18

Simplifying the x

x>18/2

x>9

I have recently faced lot of problem while learning Compound Interest Equation, But thank to online resources of math which helped me to learn myself easily on net.

Math inequalities practice problem

Problem:

Solving the inequalities 2x – 8 > 2x +8

Answer:

x>10

Problem:

Solving the inequality 2x – 8 > 2x +8

Answer:

The solution includes all real number value the interval is (-2, 1.75)