Inequalities
BASIC CONCEPTS ABOUT INEQUALITY:
Inequality:
It is a statement that one quantity or expression is greater or less than another
quantity or expression. Mathematically, for any two real numbers a and b, ( a<b) or
( b>a) if and only if ( b -a ) is a positive number, that is, if and only if b-a > 0.
It is the opposite of equality because equality states that one quantity or expression
is exactly equal to another quantity or expression.
Inequalities with <, >, or ≠≠ are called strict inequalities. Symbolically, inequalities are
written and read as follows:
1.) a > b means "a is greater than b", ( or a - b is a positive number).
examples:
12 > 5
8>3
2.) a < b means " a is less than b ",( or a - b is a negative number ).
examples:
5<8
12 < 15
BASIC CONCEPTS ABOUT INEQUALITY:
Inequality:
It is a statement that one quantity or expression is greater or less than another
quantity or expression. Mathematically, for any two real numbers a and b, ( a<b) or
( b>a) if and only if ( b -a ) is a positive number, that is, if and only if b-a > 0.
It is the opposite of equality because equality states that one quantity or expression
is exactly equal to another quantity or expression.
Inequalities with <, >, or ≠≠ are called strict inequalities. Symbolically, inequalities are
written and read as follows:
1.) a > b means "a is greater than b", ( or a - b is a positive number).
examples:
12 > 5
8>3
2.) a < b means " a is less than b ",( or a - b is a negative number ).
examples:
5<8
12 < 15
