1. A law clerk has earned more than $20,000 since being hired. Define a variable and write an inequality to model the situation.
2. Writing The number of flowers that will be planted in the yard will be fewer than 21.
a. Write an inequality for the situation.
b. Write other phrases that would also represent the inequality symbol from the situation.
3. Reasoning The number x is at most 25.
a. What is the appropriate inequality symbol for the situation?
b. When should you use a symbol that allows equality? Explain.
c. When should you use a symbol that does not allow equality? Explain.
4. Think About the Process Solve the inequality x minus 3 greater than 11 .
a. What are the solutions? Select the correct inequality. Then complete the inequality.
A. x ≤
B. x<
C. x>
D. x ≥
b. How should the graph look?
A. The graph should have an open circle and the line should be shaded to the right.
B. The graph should have a closed circle and the line should be shaded to the left.
C. The graph should have an open circle and the line should be shaded to the left.
D. The graph should have a closed circle and the line should be shaded to the right.
c. Choose the correct graph below.
A.
B.
C.
D.
E.
F.
G.
H.
5. Writing Andrew plans to build a tree house that is 1 third the area of Cynthia's tree house. Andrew plans to make the area of his tree house at least 11 square feet. Write and solve an inequality to find the area of Cynthia's tree house.
a. Let x be the area of Cynthia's tree house. Choose the correct symbol to complete the inequality.
A. <
B. ≤
C. >
D. ≥
b. The area of Cynthia's tree house is at least square feet.
c. How do you know which tree house is larger without solving the inequality?