graph inequalities on a number line.

1
ObjectiveThe student will be able to

1. graph inequalities on a number line.
2. solve inequalities using addition and subtraction.

2
1) Graph the solution set ofx lt 3.

• When you have lt or gt, use an open dot!

3
2) Graph the solution set ofy -5/4.

• When you have or , use a closed dot!
• Converting -5/4 to a decimal -1.25

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3) Graph the solution set ofp ? 2.

• When you have ?, use an open dot and shade both
  ways!

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4) Which inequality would have a closed dot on
the number line?

1. gt
2. lt
4. ?

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5) Which inequality does NOT use an open dot on
the number line?

2. lt
3. gt
4. ?

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6) Solve x (-14) lt 16

• x - 14 lt 16
• 14 14
• x lt 30
• 30 (-14) 16
• 16 16

• Solve this problem like an equation
• Eliminate double signs
• Add 14 to both sides
• Simplify
• Check your answer
• Graph the solution

8
7) Solve y 21 7

• - 21 -21
• y -14
• (-14) 21 7
• 7 7

1. Subtract 21 from both sides
2. Simplify
3. Check your answer
4. Graph the solution

9
8) Solve 8y 3 gt 9y - 14
- 8y - 8y 3 gt y - 14
14 14 17 gt y
y lt 17 8(17) 3 9(17) - 14

1. Subtract 8y from both sides
2. Simplify
3. Add 14 to both sides
4. Simplify
5. Rewrite inequality with the variable first
6. Check your answer
7. Graph the solution

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9) What is the graph of 7 m?

?
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10) Solve 3r - 17  2r 14
- 2r - 2r r 17 14
17 17 r 31 3(31) -
17 2(31) 14

1. Subtract 2r from both sides
2. Simplify
3. Add 17 to both sides
4. Simplify
5. Check your answer
6. Graph the solution

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11) Solve -2x 6 3x - 4

1. x -2
2. x -2
3. x 2
4. x 2