Match the inequality with its solution set or graph. To see a larger, clearer picture of the graph, roll your mouse over the left box containing the graph.
Quick Practice:
Write an inequality for each and solve. Be sure to check your solution for reasonableness.
Eight times a number is, at most, 48.
8n ≤ 48. n ≤ 6. The number must be 6 or less.
The opposite of 3 times a number is less than 42.
-(3n) < 42. n > -14. The number must be greater than -14.
Three fourths of a number is at least 21.
¾n ≥ 21. n ≥ 28. The number must be 28 or greater.
The length of a rectangle is 5. Its area is less than or equal to 35. What is the width of the rectangle?
5w ≤ 35. w ≤ 7. The width is 7 or less.
Marianne is on the 8-cents-a-minute phone plan. If she wants a call to cost her less than $1.50, how long can she stay on the phone?
0.08t < 1.50. t < 18.75. Marianne may talk up to 18.75 minutes.
Classify the following as sometimes, always, or never true.
If a > b and c > 0, then ac > bc.
Always true when c is positive
If a > 0, then a2 > a.
Sometimes true. It is true for 22 > 2. It is false for 12 > 1.
Now that you have reviewed all of the course material in this section, go back and retake I-Quiz 1. Once you have successfully mastered (passed) I-Quiz 1 proceed to I-Quiz 2, which is worth 10 points.