Pause and Reflect

How can you tell if the boundary point in the graph should be an open or closed circle?

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Check Your Answer

If the boundary point does not include "or equal to," then the point should be an open circle. If the inequality includes "or equal to," then the point should be a closed circle.

How can you tell if the arrow should point to the right or to the left?

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Check Your Answer

Numbers to the right on a number line are greater, and numbers to the left on a number line are lesser. If the inequality contains "greater than," the arrow should point to the right. If the inequality contains "less than," the arrow should point to the left.

Practice

Graph the solution to each of the inequalities on a number line.

1. 5x – 2 > 18

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   Need a hint?

   Does the inequality use an open circle or a closed circle? Should the arrow point to the right or to the left?
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   Check Your Answer

   x > 4
   
2. 11.7 – 3a > −3.3

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   Need a hint?

   Does the inequality use an open circle or a closed circle? Should the arrow point to the right or to the left?
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   Check Your Answer

   a < 5
   
3. m + 9 ≤ 2m + 17

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   Need a hint?

   Does the inequality use an open circle or a closed circle? Should the arrow point to the right or to the left?
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   Check Your Answer

   m ≥ -8