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Identifying Inequality Solutions on a Graph

2.9.7 Identifying Inequality Solutions on a Graph

2.9.7 • Identifying Inequality Solutions on a Graph

Cool Down

Which graph correctly shows the solution to the inequality 7x−39≥8−2x7x−39≥8−2x? Show or explain your reasoning.

A

A number line is shown. There is an open circle on 3. The number line to the right of 3 is highlighted.

B

A number line is shown. There is an open circle on 3. The number line to the left of 3 is highlighted.

C

A number line is shown. There is a closed circle on 3. The number line to the right of 3 is highlighted.

D

A number line is shown. There is a closed circle on 3. The number line to the left of 3 is highlighted.

Compare your answer: Your answers may vary, but here are some samples. Graph C.

  • I tested 2, 3, and 4 for the values of xx, and 3 and 4 make the inequality true.
  • I solved a related equation and then tested a couple of values on either side of the solution.