Linear inequalities are mathematical expressions that show the relationship between two values using inequality symbols, such as <, >, ≤, or ≥. Unlike linear equations, which have an equal sign, linear inequalities indicate that one side is greater than or less than the other. For example, the inequality 2x + 3 > 7 means that the expression on the left is greater than 7. To solve linear inequalities, you can perform similar operations as with equations, such as adding, subtracting, multiplying, or dividing both sides. However, if you multiply or divide by a negative number, you must reverse the inequality sign. The solution often includes a range of values, which can be represented on a number line or in interval notation, such as x | x < 2.