What is a inequality and how to calculate

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal. Inequalities use symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to) to compare values.

To calculate an inequality, you can follow these steps:

1. Identify the inequality symbol being used (<, >, ≤, ≥).
2. Plug in the values of the expressions being compared.
3. Solve the inequality to determine the range of values that satisfy the relationship between the expressions.

For example, if you have the inequality 2x - 5 < 7, you would first plug in the value of x and then solve for the range of values that satisfy the inequality. This would involve adding 5 to both sides of the equation and then dividing by 2 to solve for x:

2x - 5 < 7
2x < 12
x < 6

Therefore, the inequality is satisfied when x is less than 6.