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InequalitiesAfter studying this lesson, you will be able to compare numbers using inequality symbols. Rational Numbers are numbers that can be
expressed in the form Inequality Symbols: > greater than < less than
Comparing Rational Numbers To compare two fractions, cross multiply. Then use an inequality to symbol to compare the numbers. Example 1 Compare Solution Cross multiply 3 times 11 equals 33 Cross multiply 8 times 4 equals 32 Compare 33 ____ 32 (put the greater than symbol in the blank) 33 > 32 Therefore,
Example 2 Compare Solution Cross multiply 6 times 12 equals 72 Cross multiply 11 times 7 equals 77 Compare 72 ____ 77 (put the less than symbol in the blank) 72 < 77 Therefore,
Example 3 Compare Solution First, make 4 a fraction - rewrite as Cross multiply -2 times 1 equals -2 Cross multiply 3 times 4 equals 12 Compare -2 ____ 12 (put the less than symbol in the blank) -2 < 12 Therefore, |
where a and b are integers and b is not
equal to zero. 
less than or equal than
greater or equal than
.
.
