AFDA – Unit #2: Linear Functions Part 2
Day #2 Notes: Graphing Linear Inequalities
Name: _________________
Block: _____ Date:_______
Today you will:
o Review graphing linear equations
o Learn to graph linear inequalities
NOTES:
Graphing a Linear Inequality in Two Variables
 Step 1: Graph the boundary line. Use a __________________ line
for <, >. Use a ________________ line for ,  .
 Step 2: ___________ a point not on the boundary line by checking
whether the ordered pair is a solution of the inequality. HINT: Use
_______ when possible.
 Step 3: Shade the _____________ containing the point if the ordered
pair IS a solution to the inequality. Shade the ___________
__________ if the ordered pair IS NOT a solution.
Graph the Inequality
1
2
1. y  x  4
2. 2 x  4 y  12
3. y  3
4. x  1
5. y   x  3
6. 4 x  3 y  6
7. x  4
8.
y2
9. Kelly wants to replace the flooring in her house with a combination of
carpet and hardwood flooring, but she cannot exceed a budget of $7,730.
The carpet she likes has a cost of $1 per square foot, and the hardwood
flooring she likes has a cost of $12 per square foot.
a. Write an inequality in standard form that describes this situation.
b. How much carpeting can she afford if she buys 500 square feet of
hardwood flooring?
10. The Furry Friends Hotel, a kennel in Salem, needs to bring in at least
$1,370 per day to cover its operating costs. The kennel charges $28 per
day to house a large dog and $24 per day to house a small dog.
a. Write an inequality in standard form that describes this situation.
b. How many large dogs must the kennel house to cover operating costs if
they bring in 23 small dogs?