Greater than and Less than Relationships: A greater than relationship is represented by the symbol >. This means that all the elements of the first set...
Greater than and Less than Relationships:
A greater than relationship is represented by the symbol >. This means that all the elements of the first set are greater than the corresponding elements in the second set. For example:
5 > 3 (the numbers 5 and 3 are greater than each other)
9 < 13 (the numbers 9 and 13 are less than each other)
Equal to Relationships:
An equal to relationship is represented by the symbol =. This means that the elements of the first set are equal to the corresponding elements in the second set. For example:
5 = 5 (the numbers 5 and 5 are equal)
10 = 10 (the numbers 10 and 10 are equal)
Ordering Relationships:
A greater than or equal to relationship is represented by the symbol ≥. This means that all the elements of the first set are greater than or equal to the corresponding elements in the second set. For example:
3 ≥ 2 (the numbers 3 and 2 are greater than or equal to each other)
8 ≥ 5 (the numbers 8 and 5 are greater than or equal to each other)
A smaller than relationship is represented by the symbol <. This means that all the elements of the first set are less than the corresponding elements in the second set. For example:
7 < 9 (the numbers 7 and 9 are less than each other)
12 < 15 (the numbers 12 and 15 are less than each other)
Combining Relationships:
You can combine different relationships using the addition or subtraction symbols. For example:
5 > 3 + 2 (the numbers 5, 3, and 2 are greater than 3)
8 = 10 - 2 (the numbers 8, 10, and 2 are equal to 8)
These definitions provide a clear understanding of how to compare the magnitudes of numbers using these different relationships