Solve the following inequality and graph its solution set. x+3≤7
There is one important difference between solving equations and solving inequalities. When dividing or multiplying the inequality by a negative number, the inequality symbol must be reversed or flipped.
Consider the following example to understand why the inequality symbol is reversed. The inequality 2 < 5 is a true statement. Multiplying both sides by -1 results in -2 > -5.
Notice that -5 is smaller than -2. Thus, the inequality symbol that makes this a true statement is >. Therefore, when multiplying or dividing an inequality by a negative number, the inequality symbol must be reversed.Solve the following inequality and graph its solution set. -2x>6