## Solving Inequalities

Simple inequalities are are very easy to solve. The process in very similar to making the subject of an equation, bearing in mind to have the inequality instead of the equals sign throughout: If the sign is replaced by any of the process is identical.

If we ever have to divide or multiply by a minus number the sign has to point the other way. For example The above equations are “one sided” inequalities but there are also “two sided” inequalities such as To solve these inequalities we have to make the sole term of the central term  Then divide by 2 to obtain It may be required, if is a whole number or integer, to write down all the values of which satisfy the inequality.

For the inequality may only be equal to 2 or 4 since so is greater than 2 and so is less than 5.

To solve follow the same procedure as above, obtaining and note that now may be equal to 2, so may be To solve follow the same procedure as above, obtaining 2&lt;=x&lt;=5 and note that now may be equal to 2 or 5, so may be To solve follow the same procedure as above, obtaining and note that now may not be equal to 2 but may be equal to 5, so may be  