What Is a Solution Set for an Equation or Inequality

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

What is a solution set for an inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

What is the difference between equation and inequality?

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. … An equation shows the equality of two variables while an inequality shows the inequality of two variables.