2.9.7 Identifying Inequality Solutions on a Graph

Algebra 12.9.7 Identifying Inequality Solutions on a Graph

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Which graph correctly shows the solution to the inequality $\frac{7 x - 3}{9} \geq 8 - 2 x$ ? Show or explain your reasoning.

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

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

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

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 $x$ , 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.

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