Algebra 1
Name:________________________________________
Homework #38: Solve linear inequalities
Date:________________ Block:___________________
Solve the linear inequalities. Graph the solutions. (You don’t HAVE to justify each step – but be prepared to on a quiz,
test, exam or SOL!
1)
2
1
 x2  x8
3
3
________
2) 5x  8x  4  4  3x
________
3) 
1
 5 x  10   9  2 x
5
________
4) 1  3x  14  2 x
________
5) 6x – 4 – 3x > 14
________
6)
2
x  28  20  2 y
3
________
7) Your friend is starting a small business baking and decorating cakes, and wants to make a profit of at least $250
for the first month. The expenses for the first month are $155. What are the possible revenues that your friend can
earn in order to meet the profit goal? You must define x and write an inequality.
8) You are getting a larger aquarium for your neon tetra fish and you also want to add more neon tetras to the
larger aquarium. The general rule is that each fish needs 2 gallons of water. You currently have 6 neon tetras. If
you buy a 20-gallon aquarium, what are the possible numbers of fishes of fish you can put in your aquarium? How
many more can you buy? You must define x and write an inequality.