## Inequalities.

Inequalities are mathmatical statement that compare two expressions or values and indicate whether they are greater than. less than or equal to each other.

Hi Internatinal friends,

From here, we’ll explore the entirely a new chapter – inequalities, and here’s the explanation of it.

Inequalities in algebra are mathematical statements that compare two expressions or values and indicate whether they are greater than, less than, or equal to each other. Inequalities are represented using symbols such as “<” (less than), “>” (greater than), “<=” (less than or equal to), and “>=” (greater than or equal to).

For example, consider the inequality “x + 3 < 8.” This inequality states that the value of the expression “x + 3” is less than 8. To solve this inequality for x, we can subtract 3 from both sides of the inequality to get:

x + 3 – 3 < 8 – 3

x < 5

So the solution to this inequality is all values of x that are less than 5.

Similarly, consider the inequality “2y >= 10.” This inequality states that the value of the expression “2y” is greater than or equal to 10. To solve this inequality for y, we can divide both sides of the inequality by 2 to get:

2y/2 >= 10/2

y >= 5

So the solution to this inequality is all values of y that are greater than or equal to 5.

Inequalities can also involve variables, such as “2x + 3y < 12,” or more complex expressions, such as “x^2 – 3x + 2 >= 0.” Solving inequalities is an important skill in algebra and is used in a variety of applications, such as in graphing functions and solving optimization problems.