## SOLVING INEQUALITIES BY ADDITION AND SUBTRACTION

Inequalities are statements of being unequal. The condition like is an illustration.

Inequalities has a property found below:

***If the same number is added to each side of a true inequality, the resulting inequality is also true.*

###
Discussion:

Given the in-equation , to solve for the value of x, simply follow the Algebraic rule to apply like adding both sides by +4 to eliminate -4. In doing this we have . This would resulting to . If the in-equation having symbol looks like , there's no changes in dealing with it by Algebraic expression. In the given in-equation , solving for the value of m goes like . And the result would be . In the in-equation , we will be doing same approach to attack as the solution. We have and make us the

*x>2/3**for the result. More illustration was provided below to gain more understanding.*### More example for clarity.

1. In the in-equation , the flow of the solution is;

*, Given in-equality*

*, adding -5 to both sides to zero the left 5 on left member*

,

*now the result*
,

*now when 3-5 is computed**, our final answer*

2. In the in-equation , the flow of the solution is;

*, Given in-equality*

*, adding +12 to both sides to zero the right -12 on right member*

*,when 7+12 was computed on the left and -12+12 on the right is computed*

*, the result as final answer or can be written as;*

*, answer*

### More Illustrations:

Solve each given inequality.

,

*or can be written as*
,

*or can be written as*

,

*or can be written as*

In numbers 8-10,Define a variable and write the inequality and solve for it.

8.) The sum of a number and 4 is at least 8.

9.) A number decreased by 8 is less than 10.

10.) Twice a number is more than the sum of that number and 11.

### Extra exercises:

Mentally, solve for the value of defined variable. Write your answer on a

*"Post a comment"*box found below of this page.
Solve for the value of

**x**.
3.) The sum of twice a number and 7 is at most 4 less than the number.