Inequalities
Systems of Inequalities
Characteristics
Word Problems
100
Is the ordered pair (-2,-2) a solution to the inequality shown on the graph? Explain.
No, the ordered pair is on a dashed boundary line, so it is not included in the solution set.
100
Is the ordered pair (-3,1) a solution of the system of linear inequalities? Explain.
No, the point is on the dashed line, which means it is not included in the solution set.
100
What kind of line would an inequality have if it has the < or > symbol?
Dashed line
100
The key words “at the most” indicate the use of which math symbol?
less than or equal to
200
Is the ordered pair (-8,2) a solution of the inequality
x-6y>12?
No, the point does not satisfy the inequality.
200
Is the ordered pair (4,-5) a solution of the system of linear inequalities?
y<-x+1
y<5x-2
Yes, the point satisfies both inequalities.
200
Where would you shade on the inequality y<3x-2
Shade Below
200
Choose the correct inequality symbol. To make a profit, the store must sell at least 20 soccer balls.
greater than or equal to
300
Write an inequality that represents the graph.
y<=2
300
What is one solution to the system of linear inequalities?
y<=3x+4
y>1/2x+2
Any point in the double-shaded region:
300
what is the end behavior of the inequality y>-2x+5
as x approaches infinity, f(x) approaches____
Infinity
300
Under her cell phone plan, Mei Mei pays a flat cost of $46 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to represent the situation.
5x+46<70
400
Write an inequality that represents the graph.
y>1/2x+2
400
Write a system of linear inequalities represented by the graph:
y>=2/3x-2
y>=-3x+2
400
How can you determine if an ordered pair is a solution to an inequality.
It is in the shaded area.
400
Sylvia and Chris’ Grooming charges $53 per overnight pet care service, and $15 per hourly dog walk. The business must earn more than $5,000 per month.
What is the linear inequality that models this situation?
53x+15y>5000