7th Grade Math

(Marvins-Underground-K-12) #1
252 Equations and Inequalities

Examples 1–3 Solve each inequality.


  1. 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.


  1. y + 1 ≥ 4 y + 4 10. 16 - 2 c < 14



    • 6.1n ≥ 3.9n + 5 12. - 4 ≤ _x
      4





  • 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.


  1. 6 y < 18 15. 4 x ≥ 36 16. 12 n ≤ 48

  2. 20 < 5 t 18. 60 ≤ _m
    3

  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



  1. _m



  • 14
    ≤ - 4 27. _s

  • 6


    • 16 28. _x




  • 4
    ≥ - 8


Example 4 Solve each inequality. Graph the solution set on a number line.


  1. 4 x + 3 < 19 30. 7 h + 1 ≥ - 6 31. - 6 y + 6 ≤ - 8 + y

  2. 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.


  1. 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.


  1. The product of a number and 4 minus three is at least -15.


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