Big Ideas 7.6: Solving Inequalities Using Addition or Subtraction

In 3 years, your friend will still not be old enough to vote. Which of the following represents your friend’s situation? What does x represent? Explain your reasoning.

In 3 years, your friend will still not be old enough to vote. Graph the possible ages of your friend on a number line. Be prepared to explain how you decided what to graph.

Baby manatees are about 4 feet long at birth. They grow to a maximum length of 13 feet.

Baby manatees are about 4 feet long at birth. They grow to a maximum length of 13 feet. Graph the possible values of x on a number line.

Use your inequality from part (a). 1. Replace the inequality symbol with an equal sign. 2. Solve the equation. 3. Replace the equal sign with the original inequality symbol. 4. Graph this new inequality.

Use your inequality from part (b). 1. Replace the inequality symbol with an equal sign. 2. Solve the equation. 3. Replace the equal sign with the original inequality symbol. 4. Graph this new inequality.

Draw different triangles whose sides have lengths 10 cm, 6 cm, and x cm.

Which of the following describes how small x can be? Explain your reasoning.

Which of the following describes how large x can be? Explain your reasoning.

Graph the possible values of x on a number line.