1. EXAMPLE 1 Writing and Solving an Inequality Season Tickets Individual tickets for a college hockey game cost $8 each plus a one-time transaction fee of $5. You can buy a season ticket for $99. How many games would you have to attend so that buying a season ticket is a better value than buying individual tickets? SOLUTION To solve the problem above, write and solve an inequality. Let x represent the number of games.

2. EXAMPLE 1 Writing and Solving an Inequality 8x + 5 > 99 Write an inequality 8x > 94 Subtract 5 from each side. x > 11.75 Divide each side by 8. ANSWER It doesn’t make sense to attend 11.75 games. So, you would have to attend 12 or more games to make buying a season ticket the better value.

3. EXAMPLE 2 Translating Verbal Sentences Write the sentence as an inequality. a. Six times the difference of a number and 3 is more than 24 SOLUTION First decide which inequality symbol to use. Then substitute numbers, variables, and operation symbols. The phrase “is more than” means >. ANSWERThe inequality is 6(x – 3) > 24.

4. EXAMPLE 2 Translating Verbal Sentences Write the sentence as an inequality. Nine more than 4 times a number is at least 30 plus 11 times the number. b.b. SOLUTION First decide which inequality symbol to use. Then substitute numbers, variables, and operation symbols. The phrase “is at least” means ≥. ANSWERThe inequality is 9 + 4x ≥ 30 + 11x

5. EXAMPLE 2 Translating Verbal Sentences Write the sentence as an inequality. Three times a number divided by 4 is no more than 5 plus twice the number c.c. SOLUTION First decide which inequality symbol to use. Then substitute numbers, variables, and operation symbols. The phrase “is no more than” means ≤. ANSWERThe inequality is ≤ 5 + 2x. 3x43x4

6. GUIDED PRACTICE for Examples 1, and 2 Basketball Individual tickets for a college basketball game cost $12 each plus a one-time transaction fee of $8. A season ticket costs $125. How many games would you have to attend so that buying a season ticket is a better value than buying individual tickets? 1. ANSWER You would have to attend 10 or more games to make buying a season ticket the better value.

7. GUIDED PRACTICE Write the sentence as an inequality. Let x represent the unknown number. 2. The difference of a number and 4 is less than 10 more than 3 times the number. for Examples 1, and 2 ANSWERThe inequality is x – 4 < 3x + 10.

8. GUIDED PRACTICE Write the sentence as an inequality. Let x represent the unknown number. 3. Six times the sum of a number and 8 is no more than 12 less than twice the number. for Examples 1, and 2 ANSWERThe inequality is 6(x + 8) ≤ 2x – 12.