Inequalities in Two Variables

Is the shaded region above or below the boundary line for the following inequality? \(y\ge-3x\)

• above

• below

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CCSS.HSA.REI.D.12

Complete the inequality for the given information...
Solid Boundary line
Shaded region above  y___4

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CCSS.HSA.REI.D.12

Complete the inequality for the given information...
Dashed Boundary line
Shaded region below

y___10x+1

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CCSS.HSA.REI.D.12

Complete the inequality for the given information...
Dashed Boundary line
Shaded region above y___-5x+6

Tags

CCSS.HSA.REI.D.12

Complete the inequality for the given information...
Solid Boundary line
Shaded region below  y___-3x+7

Tags

CCSS.HSA.REI.D.12

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2

Tags

CCSS.HSA.REI.D.12

Which of the following inequalities matches the graph?

• y ≥ x + 2

• y ≤ x + 2

• y > x + 2

• y < x + 2

Tags

CCSS.HSA.REI.D.12

Aleris is sending a fancy organic fruit basket to her grandma for her birthday.  Apples cost $3 and oranges cost $2.  Aleris can spend no more than $24 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

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (1, -1)

• (5, 20)

Tags

CCSS.HSA.REI.D.12

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
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