News/NotesWarm-Up/Review

Intro to InequalitiesClass Work**Notebooks Submitted Tomorrow

November 17, 2014

Today:

News/Notes

Khan Academy Topics now posted @ v6math on the side bar. (right side)We will do practice

problems from these topics during the week.There is no school Friday, so we will have the first of our two inequality tests on Thursday. This test will be one, two, and multi-step inequalities. The next test will include compound and absolute value inequalities.

Warm-Up Section

of Notebook

Warm-Up: (5)

2. -3(2x - 3) + 7x < -4(x - 5) + 6x – 2

4. |x + 5|+ 3 = 11

3. -2|x - 7|- 4 = -22

1. Find the dimensions of the following rectangle.

P = 62 ft.

2w - 5

w

Multi-Step Inequality

What is the LCD?

3(x - 4)

Compound InequalitiesPractice Problem: Compound Inequality

(Conjunction)1. -2 < x – 1< 3

How would we write this

using the word ‘and’?-2 < x - 1 and x –

1< 3x

5-4 -2 0 2 4-5 -3 1 5-1-5 3

The graph of the solution is:

{x|-1 < x < 4}

The written solution is:And is verbalized as:

The set of x such that negative one is less than or equal to x less than four.

-1< 3 - 2x

1. Rearrange to write an equivalent inequality:2. Rewrite as a compound inequality with

the word ‘and’1< x <

2

3 - 2x > -1x >1 and x

< 2

Inequality Review: (6)

3. Rewrite as one compound inequality with the word ‘and’:x < 2x - 3 <

52x – 3 > x and 2x -

3 < 5

4. Solve the above inequality. Graph, and write solution in set builder notation in the form x|n1< x < n2

3a. Describe the pattern for converting a compound inequality into the two inequalities which are solved.

3 < x < 4

Inequality Review

-1 < x < 5

5. Solve, graph, then write the solution for the following inequality:3 - 2x < -1 or 3-

2x > 1x > 2 or x < 1

6. Solve, graph, then write the solution for the following inequality:-1 < x - < 2

Tomorrow:

Absolute Value Inequalities: Be here!

Now: Class Work 2.3, Compound Inequalities