2.5 Writing Compound Inequalities
Learning Objective: A.CED.1
A.CED.4
NAME ____________________________
I will write a compound inequality from a graph
I will solve formulas for the indicated variable
Write a compound inequality for each graph.
Define a variable and write an inequality for each problem.
7. Two times a number plus one is greater than five and less than seven.
8. A number minus one is at most nine, or two times the number is at least twenty-four.
9. METEOROLOGY Strong winds called the prevailing westerlies blow from west to east in a belt from
40° to 60° latitude in both the Northern and Southern Hemispheres.
a) Write an inequality to represent the latitude of the prevailing westerlies.
b) Write an inequality to represent the latitudes where the prevailing westerlies are not located.
Solve each problem using the formulas for profit and distance.
10. Barry jogs at a rate of 6 mi/h. How many hours must he jog in order to cover a distance of 15 mi?
11. A day-care center needs a profit of $600 for its variety show. Expenses are $75. How many tickets must
be sold if the price of each ticket is $1.50?
12. If the day-care center expects to sell about 350 tickets, expenses are $75, and a $600 profit is the goal,
what should be the price of each ticket, to the nearest quarter?
13. Kate lives 2 mi from school. She runs at a rate of 10 mi/h. How long must she run to get from her home to
school?
14. A school orchestra is giving a concert. Its expenses will be $250. If they sell 550 tickets at $2 each, what
will be their profit?
15. How fast must a train travel in order to cover a distance of 130 mi in 2 ½ hours?
Answers: 1) x < 2 or x > 3 3) x < 2 or x > 5
9) a) 40 < x < 60 b) x < 40 or x > 60
13) 2 = 10t, t = 0.2 hours or 12 minutes
5) 7 < x < 11 7) 5 < 2n + 1 < 7
11) 600 = 1.5x – 75, x = 450 tickets
15) 130 = r(2.5), r = 52mph