Constraints Systems of Inequalities

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

• solutions to a system of inequalities

• system of inequalities

• system of equations

• variables

Answer explanation

Solutions to a system of inequalities are all pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of inequalities?

• (5,2)

• (-4,-4)

• (1,-5)

Which of the following points is a solution to the system of inequalities?

• (0,0)

• (4,10)

• (6,-4)

• The system has no solutions.

Tags

CCSS.HSA.REI.D.12

Which inequality is represented by the graph?

Tags

CCSS.HSA.REI.D.12

Given the system of inequalities, which of the following points is a solution to the system.

• (3,1)

• (4,2)

• (5,3)

Which of the following inequalities is represented by the graph?

Tags

CCSS.HSA.REI.D.12

• (3, 2)

• (4,5)

• (1,7)

Given the inequality, which of the following would be a solution?

• (3,4)

• (2,1)

• (6,6)

A fast food restaurant charges $6 for chicken nuggets and $3 for fries. You are buying lunch for yourself and your friends, but you only have $30.

x: number of chicken nuggets

y: number of fries

Which inequality represents the constraints.

• 
• 
• 
• 

Tags

CCSS.6.EE.B.8