6th Grade Math Textbook, Progress

Inequalities

A word sentence can also represent an inequality.

An inequality is a statement that uses any of the

symbols in the table at the right.

Eight plus twice two is greater than ten.

8 
 2(2)  10 closed sentence

12  10 true

Symbol Read As


 is less than

 is greater than



is less than or

equal to



is greater than or

equal to

 is not equal to

An inequality that includes

a variable, or is open, can

have more than one

solution. For n 5 25,

ncan be any number less

than 30.

Five less than a number is less than twenty-five.

n 5  25 open sentence

20  5  25 for n 20

15  25 true

n 15 is one solutionof the inequality.

Write as an inequality. Then label each inequality openor closed.

If the inequality is closed, write whether it is trueor false.

9. One more than twice a number is 10. Forty-seven is less than or equal
   greater than three. to five times three, added to nine.


10. Nineteen is not equal to the sum of 12. One sixth of thirty-six hundredths is
    one and one tenth of one hundred. less than two-tenths less than four.


11. The quotient of a number divided by 14. Eight is not equal to three times
    seven is greater than or equal to ten. a number.

Determine if the given value of the variable is a solution

of the inequality. Write yesor no.

15. 50 x
    12.5 55, when x0.5 16. 7 n 6 n
    12, when n2.1


16. 
    2.4 6.5, when q16.4 18. 25 (5 r) 19, when m2.3
    q
    4

Equations and inequalities can have more than one variable.

Find a value for each variable that will make each statement true.

19. 5.5x1.5y 3.5x 20. 8.4x 2.4x
    3.6y 21. 12.6 6 x  2 y 0.4y

8206-2_128-129 1/9/06 6:40 PM Page 129