Solve Problem Involving linear inequalities in two variables

Which of the following points satisfies the linear inequality

y > 3x - 1?

• (2, 4)

• (1, 2)

• (0, -2)

• (-1, 0)

Which shaded region in the diagram is defined by the linear inequality 2x - 5y < 10 ?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

Which of the following linear inequalities represents the shaded region in the above diagram?

Tags

CCSS.HSA.REI.D.12

The shaded region in the above diagram is defined by the following linear inequalities except

Tags

CCSS.HSA.REI.D.12

• (-2, 1)

• (0, -1)

• (2, 1)

• (4, -1)

A factory produces p handphones of model X and r handphones of model Y. The number of handphones of model Y cannot exceed the number of handphones of model X by more than 150. Which linear inequality represents the situation?

• (1, 3)

• (2, 1)

• (3, 4)

• (6, 2)

Tags

CCSS.HSA.REI.D.12

The price of aT-shirt is RM60 and the price of a blouse is RM80. Alice wants to use RM500 tobuyxT-shirts andyblouses withabalance which is at most RM50. The number of T-shirts that she buys is more than the number of blouses. She buys at least 3 blouses. Which system of linear inequalities represents the situation?

Which of the regions, A, B, C or D, in the above diagram, satisfies the system of linear inequalities x ≥ 0, y ≥ 2x,

y < 9 - x and y + 2x > 4 ?

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12