Linear Inequalities in Two Variables and Linear Programming

Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn. He would like to make at least RM130.

Write an inequality that describes the situation.

Let x = # of small lawns mowed and

Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y > 130

• 11x + 26y ≤ 130

• 11x + 26y < 130

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y ≤ 24

• 3x + 2y > 24

• 3x + 2y ≥ 24

Yumi is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Yumi is informed that at least 162 guests are attending.

Write an inequality that describes the situation.

Let x = # of circular tables

Let y = # of rectangular tables

• 8x + 10y < 162

• 8x + 10y ≤ 162

• 8x + 10y > 162

• 8x + 10y ≥ 162

Michael is selling chocolate bars and orange juice in a carnival. Chocolate bars sell for RM2.50 each, and orange juice sell for RM3.50 each. If Michael wants to get more than RM150, write an inequality showing the number of chocolate bars, b, and the number of orange juice, j, he must sell.

• 2.50b + 3.50m > 150

• 2.50b + 3.50m <150

• 2.50m + 3.50b > 150

• 2.50m + 3.50b <1

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than RM81. An order of breadsticks costs RM7 and a pizza costs RM13.

• 7x + 13y < 81

• 7x + 13y ≤ 81

• 7x + 13y ≥ 81

• 7x + 13y > 81

Choose all the possible values of x where x < 8.

• 5

• 6

• 7

• 8

P > Q , Q < P

• YES

• NO

Which scenario fits this graph best?

• You have RM20 to spend. Hotdog cost RM5 and hamburger cost RM2. How many hotdogs and hamburgers can you buy?

• You have RM30 to spend. Hotdog cost RM5 and hamburger cost RM3. How many hotdogs and hamburgers can you buy?

• You have RM20 to spend. Hotdog cost RM4 and hamburger cost RM10. How many hotdogs and hamburgers can you buy?

• You have RM30 to spend. Hotdog cost RM5 and hamburger cost RM6. How many hotdogs and hamburgers can you buy?

What type of line is used with the following symbols, < and > ?

• dashed or dotted

• solid

What type of line is used with the following symbols, < and > ?

• dashed or dotted

• solid