Solving Compound Inequalities and Applications

Your class needs to raise $1000 for a field trip.
You have already raised $250. You all decide to sell coupon books.
You earn $12.50 for each book sold.
Choose the inequality that represents the number of books you should sell to meet or exceed your goal.

• b(250 + 12.50) ≥ 1000

• 250 + 12.50b ≥ 1000

• 250 + 12.50 + b ≥ 1000

• b ≥ 1000 - 250 - 12.50

Your needs to raise $1000 for a field trip.
You have already raised $250. You all decide to sell coupon books.
You earn $12.50 for each book sold.
Write and solve an inequality that represents the number of books you should sell to meet or exceed your goal.

• You should sell 60 books.

• You should sell 100 books.

• You should sell 100 or more books.

• You should sell 60 or more books.

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• V > 5

• V > -5

• v < -5

Which is the solution of
-4 - 6m > -9m + 8?

• m < -4

• m > 4

• m < 15

• m > 36

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve:
(2c + 10) / 4  ≤ -2 - c

• c ≥ -3

• c ≤ 3

• -3 ≥ c

• 3 ≤ c

Which is the solution of 2(h-4)  ≤ 6(h-8)?

• 10  ≤ h

•  h ≤ 10

• h ≥ 12

• 12 ≥ h

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

0 < x + 7 < 9

• -7

• -7

• -7>x and x>2

• -7>x or x>2