252 Equations and Inequalities
Examples 1–3 Solve each inequality.
- 5 x > 15 2. ^2
3
< ^4
5
y 3. 9 h ≥ 63 4. _h
6
≤ 8
- 7 y > 28 6. - 3 n ≤ - 21 77 _t
- 4
< - 11 8. _-x 5 ≥ - 6
Example 4 Solve each inequality. Then graph the solution set on a number line.
- y + 1 ≥ 4 y + 4 10. 16 - 2 c < 14
- 6.1n ≥ 3.9n + 5 12. - 4 ≤ _x
4
- 6.1n ≥ 3.9n + 5 12. - 4 ≤ _x
- 6
Example 5 13. POOL MEMBERSHIP A pool charges $4
each visit, or you can buy a membership.
Write and solve an inequality to find
how many times a person should use the
pool so that a membership is less
expensive than paying each time.
= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.
Examples 1–3 Solve each inequality. Check your solution.
- 6 y < 18 15. 4 x ≥ 36 16. 12 n ≤ 48
- 20 < 5 t 18. 60 ≤ _m
3 - _h
9
9
- 3 s ≥ 33 21. - 7 y < 35 22. - 56 ≤ - 8 x
- 10 n > - 20 24. _w
- 5
≥ 9 25. _t - 2
< 6
- _m
- 14
≤ - 4 27. _s - 6
- 16 28. _x
- 4
≥ - 8
Example 4 Solve each inequality. Graph the solution set on a number line.
- 4 x + 3 < 19 30. 7 h + 1 ≥ - 6 31. - 6 y + 6 ≤ - 8 + y
- 9 + _n
- 2
5 33. _t
5
- 6 ≤ - 11 34. 44 + 4 x < 11 + x
Example 5 35. CARNIVAL Each game at a carnival costs $0.50, or you can pay $15 and
play an unlimited amount of games. Write and solve an inequality to find
how many times a person should play a game so that the unlimited game
play for $15 is less expensive than paying each time.
- BASEBALL At a baseball game you can get a single hot dog for $2. You
have $10 to spend. Write and solve an inequality to find the number of
hot dogs you can buy.
Write an inequality for each sentence. Then solve the inequality.
B 3737 Five times a number decreased by seven is less than -52.
- The product of a number and 4 minus three is at least -15.
3 months
for $100
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