Question

Explain how the solution(s) to an equation is different from the solutions(s) to an inequality.

A. Inequalities usually have 1 or more discrete solutions whereas equations have solutions within range of numbers.
OB. Solutions to inequalities simplify to a true statement when substituted back into the inequality whereas when solutions to equations are
substituted a false statement is given.
C. Equations usually have 1 or more discrete solutions whereas inequalities have solutions within range of numbers.
D. Solutions to equations simplify to a true statement when substituted back into the equation whereas when solutions to inequalities are
substituted a false statement is given.

Answer 1

C is the correct answer

Answer 2

D. Solutions to equations simplify to a true statement when substituted back into the equation, whereas when solutions to inequalities are substituted, they may or may not satisfy the inequality.

Explanation:

An equation is a mathematical statement that shows that two expressions are equal to each other. The solution(s) to an equation is a value or set of values that make the equation true. When the solution(s) are substituted back into the equation, a true statement is obtained.

On the other hand, an inequality is a mathematical statement that shows that two expressions are not necessarily equal to each other but are related by a greater than, less than, or equal to symbol. The solution(s) to an inequality is a range of values that satisfy the inequality. When the solution(s) are substituted back into the inequality, a true or false statement is obtained depending on whether the values satisfy the inequality or not.