The stage manager of the school musical is trying to figure out how many sandwiches he can order with the $83 he collected from the cast and crew. Sandwiches cost $5.99 each, so he letsrepresent the number of sandwiches he will order and writes 5.99≤ 83. he solves this to 2 decimal places, getting ≤ 13.86.
(1.) x > -1
(2.) x ≤ -2
(3.) y < –1
(4.) y ≥ 0
(5.) y ≤ x
Write, Solve, and Graph an Inequality.
A mover is loading an elevator with many identical 48-pound boxes. The mover weighs 185 pounds. The elevator can carry at most 2000 pounds.
(1.) Write an inequality that says that the mover will not overload the elevator on a particular ride.,
(2.) Solve your inequality and explain what the solution means.
(3.) Graph the solution to your inequality on a number line.
(4.) If the mover asked, “How many boxes can I load on this elevator at a time?” what would you tell them?
Solve One Variable Inequalities.
Note: You are going to interact with the applet below to find solution sets to inequalities. Enter in an exact boundary value in the input box (i.e. enter “2/6” and not 0.66). Do not simplify your answer.
In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 students. Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.
28 students went on a field trip. They bring a van that can seat 12 students. Elena and Kiran’s teacher asks other adults to drive cars that seat 3 children each to transport the rest of the students. Elena wonders if she should use the inequality to figure out how many cars are needed. Kiran doesn’t think it matters in this case. Do you agree with Kiran? Explain your reasoning.
Select all the inequalities that have the same graph as