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9-43.

Solve and graph the following inequalities:  

  • Solve the inequalities like an equation. Substitute the inequality symbol with an equal sign.

    Isolate the by adding nine to each side.

    Choose two numbers, one less than  and one greater than . (Example: and ) Substitute these numbers for to decide which direction the arrow should point.

    (False) 
     (True) 

    Since is less than , we know that the arrow must point to the left. Every number to the left of on a number scale is less than .

  • Use the same method from part (a).

    A line graph, shaded on a number line, starts with a closed circle, on negative 6, with an arrow pointing left.

  • Solve using the same method from part (a).