7.5 Notes – Graphing Linear Inequalities
Review:
1.
What does an inequality look like?
2. What does linear mean?
Solving Inequalities Review:
x  1
x  1
3x  4  16
3. What happens to an inequality when we multiply or divide by a negative?
 7 x  42
Practice (Graph your answers!):
4) 4d  7  23
 2x  4x  14
5) 5  3n  4
6)  7  5  4a
Linear Inequalities:
Vocab:
Linear Inequality:
Solutions to an inequality:
y  or  :
y  or  :
Examples:
1.)
3.)
2.)
Practice! (Must be checked off by Ms. Shaw)
4)
5)
6)
7) Suppose you are shopping for crepe paper to decorate the school gym for a dance. Silver crepe paper is $5
per roll and green crepe paper is $3 per roll. Your budget allows you to spend at most $48 for crepe paper.
How many rolls of gold and purple can you buy without exceeding budget?
Equation:
Solution:
8) Suppose the budget for a party allows you to spend no more than $12 on peanuts and cashews. Peanuts
cost $2/lb and cashew cost $4/lb. Find three possible combinations of peanuts and cashews you can buy.
Equation:
Solution:
9) Suppose you are buying a present for your friend. You don't want to spend more than $20. Candy costs $2
per box and roses cost $5 per bundle. Find two different possible combinations of candy and roses.
Equation:
Solution: