7th Grade Math

(Marvins-Underground-K-12) #1
= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.
Examples 1 and 2 Solve each inequality.




    • 3 < n - 8 12. h - 16 ≤ - 24 13. y - 6 ≥ - 13



  1. 3 ≤ m + 1.4 15. x + 0.7 > -0.3 16. w - 8 ≥ 5.6


Example 3 Solve each inequality. Graph the solution set on a number line.




    • 11 > t + 7 18. m + 5 ≥ - 1 19. - 21 < a - 16



  1. t - 6.2 < 4 21. n - 51 ≤ ^3
    10
    22. 6 > x + 3 _^13


Example 4 Write an inequality and solve each problem.


  1. Four more than a number is more than 13.

  2. The sum of a number and 19 is at least 8.

  3. Eight less than a number is less than 10.

  4. The difference between a number and 21 is no more than 14.

  5. SOCCER The high school soccer team can have no more than 26 players.
    Write and solve an inequality to determine how many more players can
    make the team if the coach has already chosen 17 players.

  6. CARS There were a total of 125 cars at a car dealership. A salesperson sold
    68 of the cars in one month. Write and solve an inequality that describes
    how many more cars, at most, the salesman has left to sell.


2929 CELL PHONES Lalo has 1,500 minutes per month on his cell phone plan.
How many more minutes can he use if he has already talked for 785
minutes?

B 30. MATH IN THE MEDIA Find real-world data using a newspaper or
magazine, the television, or the Internet. Then write and solve a
real-world problem that involves an inequality.


  1. WEATHER Refer to the diagram below.


%FQSFTTJPO 5SPQJDBM4UPSN )VSSJDBOF

8JOE4QFFEPG4UPSN    NQI

39 74
8JOE4QFFEPG4UPSN NQI

Types of Storms

%FQSFTTJPO 5SPQJDBM4UPSN )VSSJDBOF

a. A hurricane has winds that are at least 74 miles per hour. Suppose a
tropical storm has winds that are 42 miles per hour. Write and solve an
inequality to find how much the winds must increase before the storm
becomes a hurricane.
b. A major storm has wind speeds that are at least 110 miles per hour.
Write and solve an inequality that describes how much greater these
wind speeds are than the slowest hurricane.

Lesson 4B Inequalities 247

242_253_C04L4_895130.indd 247 12/31/09 4:05 PM

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