Download 2016-09-27 Compound Inequalities .notebook

2016­09­27 Compound Inequalities .notebook
September 27, 2016
Today is Tues
9/27
Do Now:
-Take calculator and handout from back
-Take out notebook and HW
-Copy tonight's HW
Student Journal page 51 and 52
all questions.
**Test Friday on Equations and Inequalities*** extra help fri. am
Warmup
2016­09­27 Compound Inequalities .notebook
September 27, 2016
HW Answers
3) B
5) C
7) x > 5
9) v < 2
4 5
6
1
2 3
1
2
11) w > 2
13) p < -32
15) a > 3
17) m > 3
19) d > -2
21) all real numbers
23) no solution
25) no solution
27) all real numbers
3
-33 -32 -31
4 3
2
2016­09­27 Compound Inequalities .notebook
September 27, 2016
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Today's Objective
Solving Compound Inequalities
We will be able to:
To describe the solution set of two equations
(or inequalities) joined by "and" or "or"
OMG, inequalities
are the best. To graph the solution set on a number line
Exercise
Determine whether each claim given below is true or false
a) 3 + 5 = 8 and 5 < 7-1
b) 10 + 2 ≠ 12 and 8 - 3 > 0
c) 3 < 5 + 4 or 6 + 4 = 9
d) 16-20 > 1 or 5.5 + 4.5 = 11
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Compound Equations and Inequalities
Solve the following or and Work with a partner. In parts (a)– (d), use two inequalities to describe the interval.
e. Do you use “and” or “or” to connect the two inequalities in parts (a)–
(d)? Explain.
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Work with a partner. In parts (a)– (d), use two inequalities to describe the interval.
e. Do you use “and” or “or” to connect the two inequalities in parts (a)–
(d)? Explain.
Write each sentence as an inequality. Graph each inequality.
a. A number x is greater than −8 and less than or equal to 4.
b. A number y is at most 0 or at least 2.
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Write the sentence as an inequality. Graph the inequality.
a. A number d is more than 0 and less than 10.
b. A number a is fewer than −6 or no less than −3.
Method 1: Solving Inequality with AND
Step 1: Keep as one Step 2: Solve (whatever is done to one side is also done to the other)
Step 3: Graph on a number line
­5 < 2x ­ 3 < 3
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Method 2: Solving Inequality with AND
Step 1: Write two inequalities
Step 2: Solve each
Step 3: Graph on a number line
­5 < 2x ­ 3 < 3
Solve each inequality. Graph each solution.
a. −4 < x − 2 < 3 b. −3 < −2x + 1 ≤ 9
2016­09­27 Compound Inequalities .notebook
Solve and graph on a number line:
­7 < x ­ 5 < 4
Solving inequalities with OR
Step 1: Solve them separately
Step 2: Graph on same number line
2x + 3 < 9 or 3x ­ 6 > 12
September 27, 2016
2016­09­27 Compound Inequalities .notebook
September 27, 2016
Solve 3y − 5 < −8 or 2y − 1 > 5. Graph the solution.
Solve and graph on a number line.
3h + 1 < ­5 or 2h ­ 5 > 7
2016­09­27 Compound Inequalities .notebook
September 27, 2016