Inequalities in Algebra

In general equality means that something should be equal ( = ). Inequality means that something should not be equal ( ≠ ). So It may be greater than ( > ) or less than ( < ). Those symbols are going to use in solving inequality problems.

Solving inequalities in algebra:

1.Addition principles for inequalities in algebra:

If a > b then a + x > b + x .

Example:

For solving inequalities in algebra, consider the following example.

Solve x + 5 > 10

Solution:

Using the addition principle, add -5 to both sides of the inequality.

x + 5 -5 > 10 – 5

So , x > 5. Answer.

2. Multiplication principle for inequalities.

If a > b and x is positive, then ax > bx . If a > b and x is negative, then ax <>

Example:

Solve: - 4x <>

Solution:

Using the multiplication principle, divide 4 both on sides, then reverse the signs.

( -4x ) / 4 <>

- x <>

So x > 2. Answer

These are the examples for solving the inequalities in algebra.