Basic Inequalities

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Match the graph with its inequality.

• c > 9

• c < 9

• c ≥ 9

• c ≤ 9

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Complete the statement:
51 _?_ 39

• is greater than       >

• is less than            <

• is equal to              =

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

Nick is buying a teddy bear and flowers for his wife. Flowers Galore charges $12 for the teddy bear and $0.50 per flower. Famous Florist charges $10 for the teddy bear and $1.00 per flower. Which inequality correctly represents the number of flowers, x, Nick would need to buy to make Flowers Galore the cheaper option? hint:( your equation is x and the inequality symbol followed by your numerical answer).

Mathematical Equivalence

ON

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

Move the correct answer to each box. Not all answers will be used.

​​ (a)   x+​ (b)   y​ (c)   ​ (d)  

• 100

• 7

• 10

• 17

• <

• >

• =

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

Write the inequality of the graph given. (Slope intercept form)

Mathematical Equivalence

ON

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11