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Solving Compound Inequalitiesand Solving Open

Sentences Involving Absolute Value

- 6-4
- 6-5

3.0 Students solve equations and inequalities

involving absolute values. 4.0 Students simplify

expressions before solving linear equations and

inequalities in one variable, such as 3(2x-5)

4(x-2) 12. 5.0 Students solve multistep

problems, including word problems, involving

linear equations and linear inequalities in one

variable and provide justification for each step.

Jessica N. Sean P. Lynette B.

Vocabulary

- Compound Inequality- Two or more inequalities

that are connected by the words and or or - Intersection- the graph of a compound inequality

containing and the solution is the set of

elements common to both inequalities - Union- the graph of a compound inequality

containing or the solution is a solution of

either inequality, not necessarily both

- Ex.1 graph x lt 3 and x -5
- And means that they intersect or they overlap.
- When you combine them you get your answer.

-6 -5 -4 -3 -2 -1 0 1

2 3 4 5

-6 -5 -4 -3 -2 -1 0 1 2

3 4 5

-6 -5 -4 -3 -2 -1 0 1 2

3 4 5

- Or means that you plot them and usually nothing

intercepts - Ors have wings
- Graph x 3 or x lt -2

-6 -5 -4 -3 -2 -1 0 1 2

3 4 5

- When solving absolute value equations, split into

2 separate problems (one for the negative and one

for the positive) - Solve
- x - 4 6
- x - 4 6 x - 4 -6
- 4 4 4 4
- x 10 or x 2

- When solving an absolute value inequality, flip

the sign for a negative. - x - 2 5
- x - 2 5 x - 2 -5
- 2 2 2 2
- x 7 or x -3
- , lt and
- , gt or

-3 -2 -1 0 1 2 3 4

5 6 7 8

- Effects by Sean
- Writing by Jessica
- Background and designs by Lynette

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