**unit 6.5 - solving linear inequalities by using multiplication and division**

**what we need to know**

**Difference between equations and inequalities.**

An inequality has more a range of possible answers.

An equation has only one solution.

Be able to solve equations by adding and subtracting.

To solve inequalities by adding and subtracting, we proceed as we would when solving equations by adding and subtracting.

To solve inequalities by using multiplication and division, we proceed as we would for an equation WITH ONE MAJOR DIFFERENCE (to be explored in this page).

An inequality has more a range of possible answers.

An equation has only one solution.

Be able to solve equations by adding and subtracting.

To solve inequalities by adding and subtracting, we proceed as we would when solving equations by adding and subtracting.

To solve inequalities by using multiplication and division, we proceed as we would for an equation WITH ONE MAJOR DIFFERENCE (to be explored in this page).

**when using multiplication and division to solve inequalities, this is what you should remember:**

**more information**

**Solving inequalities is very similar to solving equations, with one important difference. when it comes to multiplying and dividing. Remember that:**

**however, when solving inequalities there is a major difference you must remember:**

**put it simply, make sure you remember this:**

**here are some examples:**

**look at what i mean by "multiplying" by a negative number, and notice how the inequality symbol is reversed:**

**look at what i mean by "dividing" by a negative number, and notice how the inequality symbol is reversed:**

**here are the summarize steps:**

**look at these examples:**

**now, do you remember what I said to do when you end up with a negative variable? When that happens, you switch all signs (and you reverse the inequality sign). Here is why!!!**

**videos that can help**

**interactive online activities**

**worksheets**

**Here are the answers to. the worksheets that were given to you in class:**

9_6.5_worksheets_-_solutions.pdf | |

File Size: | 8790 kb |

File Type: |

**review - workbook**

workbook_-_unit_6.5.pdf | |

File Size: | 2912 kb |

File Type: |