1) Solve and graph.

3t – 7 ≥ 5 and 2t – 6 ≤ 10

Do Now

2) Solve and graph.

– 3h + 4 > 19 or 7h – 3 ≥ 18

3) Draw the graph of:

– 5 < x ≤ – 1

Inequalities With “3 Sides”To solve an inequality of this type, whatever you do to one side you must do to the other two sides.

4) – 5 < x – 4 < 2

5) – 5 < 2x – 3 ≤ 15

Practice

Write a compound inequality for each graph:

6)

7)

Write a compound inequality for each graph.

8)

9)

Mixed Practice10) Solve and graph.

5 < 2w + 3 ≤ 11

11) n – 7 ≤ – 5 or n – 7 > 1

12) 3z + 1 < 13 and – 2z ≤ 8

Special Case13) Graph.

or

Special Case14) Graph.

and

Homework

Packet pg. 5 #’s 5 – 12

Permission Slips Due Wednesday

g) Graph the compound sentence or on the number line below

h) How could we abbreviate the sentence or ?

i) Rewrite as a compound sentence and graph the solutions to the sentence on the number line below

Example 2 Graph each compound sentence on a number line.

a. or

b. or

Rewrite as a compound sentence and graph the sentence on a number line.

c.

Exercise 4Determine if each sentence is true or false. Explain your reasoning.

a. and .

or

Solve each system and graph the solution on a number line.

or

d. or

Graph the solution set to each compound inequality on a number line.

or

Write a compound inequality for each graph.

i. A poll shows that a candidate is projected to receive of the votes. If the margin for error is plus or minus , write a compound inequality for the percentage of votes the candidate can expect to get.

g.

h.

j. Mercury is one of only two elements that is liquid at room temperature. Mercury is non-liquid for temperatures less than °F or greater than °F. Write a compound inequality for the temperatures at which mercury is non-liquid.