1. Solve the following inequalities:

 

a.

x + 7 > 12

j.

b.

k.

c.

l.

d.

m.

e.

3 − 4x > 11

n.

f.

- 2x < 6

o.

g.

3(x − 2) + 5(x + 2) > 20

p.

h.

3x + 7 < 2x − 6 q.
i. -2x + 5 > 10 r.

2. For each of the following statements, assign variables and write an inequality.

a. Two numbers add up to less than 7.
b. The product of two numbers is more than 100.
c. The difference between six times a number and five times a different number is at least 20.
d. A music store sells tapes at $15 and CDs at $25. It must sell more than $1000 worth each day.

For the following three questions, form an inequality and then solve it:

3. A teacher has $200 to spend on tickets for a play. Teachers' tickets are $10 and she has to take four teachers plus herself. Student tickets are $6.50. What is the maximum number of students she can take to the play?

4. A book publisher has to have an income of at least $100,000 a year selling a certain book. The total costs of producing and selling the book are $45 ,000 and the book publisher gets an income of $21 for each book. How many books must be sold?

5. A fruit box has a volume of 500 000 cm3. Half of the box has to be filled with pears and the other half with apples. On average each apple takes up 1330 cm3. Write an inequality to find out how many apple could fit into the box.