Question

Solve each inequality. Graph the inequality if it has a solution. If the inequality has no solution, write no solution. If the solution is true for all real numbers, write infinite solutions. Show work

18 − 5 ≤ 3(6 − 2)

Answer 1

18 − 5 ≤ 3(6 − 2)

1. Distribute

18 - 5 ≤ 18 - 6

2. Simplify

13 ≤ 12

3. Answer

13 will never be less than or equal to 12, which renders this equation false. This equation has no solutions because it contradicts the principles of the typical numbering system.