Would you rather live in a world where it constantly snows or always rains? _______
Would you rather live in a world without music or a world without movies? _______
Question 2
2.
Write your responses directly on the screen.
Question 3
3.
Place each inequality symbol from the left column below into two categories. One to describe its graph's boundary line (dashed or solid) and one to describe its graph's shaded half-plane relative to the boundary line (above or below).
\leq
\geq
>
<
SOLID boundary line
DASHED boundary line
Question 4
4.
Use Your Vocabulary: Categorize each inequality based on the boundary line of its graph.
y < 3x
2y - 3x ≤ 9
4y ≥ x - 1
y > -5x + 4
Solid boundary line
Dashed boundary line
Question 5
5.
Of the 10 points added to the graph, which represent solutions of the inequality?
Select all that apply.
Question 6
6.
Graph the following inequality by drawing on the image. Remember to emphasize whether your line is dotted or solid, and which side of the line should be shaded.
Question 7
7.
What is the graph of the inequality below?
Question 8
8.
An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?
Question 9
9.
Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work 13 hours per week. She wants to make at least $65. Write and graph a system of inequalities to represent this situation.
Inequality Representing Hours: _______
Inequality Representing Money Earned: _______
Question 10
10.
You can work a total of no more then 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn more than $254 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Inequality Representing Hours Worked: _______
Inequality Representing Money Earned: _______
Question 11
11.
Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour costs $1.50 per pound and cornmeal costs $2.50 per pound. You want to spend less than $25 on flour and cornmeal, but you need at least 6 pounds altogether.
Let's write a system of linear inequalities to represent this situation.
Inequality Representing Pounds: _______
Inequality Representing Cost: _______
Question 12
12.
Review!
Solve the system by substitution.
Question 13
13.
Solve the system by elimination.
Tonight's HW
Watch "HW: Linear Inequalities Systems Video" Formative assignment
