How does solving equations compare and contrast to solving inequalities?

Solving equations involves finding specific values that satisfy a mathematical statement, where both sides are equal. In contrast, solving inequalities determines ranges of values that satisfy a condition, resulting in solutions that can be expressed as intervals or sets. While both processes require similar algebraic techniques, inequalities introduce additional considerations, such as reversing the inequality sign when multiplying or dividing by a negative number. Ultimately, equations yield exact solutions, whereas inequalities provide a spectrum of possible solutions.