John says that if one side of an inequality is 0, you don’t have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Find an inequality that you can use to disprove John’s statement. Explain your thinking.
Solve \(\text{x} + 1 \gt 10\text{, }\text{x} + 11 \gt 20\text{, }\text{and x} + 21 \gt 30\). Describe a pattern. Then use the pattern to predict the solution of \(\text{x} + 9,991 \gt 10,000\).
The base of a rectangular prism has a length of 13 inches and a width of \(\frac{1}{2}\) inch. The volume of the prism is less than 65 cubic inches. Find all possible heights of the prism. Show your work.