Inequalities Positive Numbers

Solve and graph for x.

• x > 30, open circle at 30, arrow goes to the right

• x > 2430, open circle at 2430, arrow goes to the right

• x < 30, solid circle at 30, arrow goes to the right

• x > 30, solid circle at 30, arrow goes to the right

Solve and graph for y.

• y ≤ 40, solid circle at 40, arrow goes to the left
  

• y ≤ 40, open circle at 40, arrow goes to the left

• y ≤ 40, solid circle at 40, arrow goes to the right

• y ≤ 40, open circle at 40, arrow goes to the right

Solve and graph for b. 

• b < 16, open circle, arrow goes left 

• b < 16, solid circle, arrow goes right

• b < 16, solid circle, arrow goes left 

• b < 16, open circle, arrow goes right

Solve and graph for c. 

• c ≥ 25, solid circle, arrow going to the right

• c ≥ 25, open circle, arrow going to the right

• c ≥ 25, solid circle, arrow going to the left

• c ≥ 25, open circle, arrow going to the left

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20

• x < 20

• x ≤ 20

• x ≥ 20

A student is ordering a flower arrangement.  She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30.

If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?

Mathematical Equivalence

ON

A customer is ordering hats and T-shirts from an online store. Each hat costs $15, and each T-shirt costs $12. The customer receives free shipping if the amount of the order is over $150. Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

• 15

• 12

• >

• 150

• <

• =

• 27

x fewer than 6

• x < 6

• x > 6

• x ≥ 6

• x ≤ 6

x > 8

• expression

• equation

• inequality

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?​

(a)