graph inequalities on a number line'

1
ObjectiveThe student will be able to

• graph inequalities on a number line.
• solve inequalities using addition and
  subtraction.
• SOL A.1, A.3

Designed by Skip Tyler, Varina High School
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

4
3) Graph the solution set ofp ? 2.

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

5
4) Which inequality would have a closed dot on
the number line?

• gt
• lt
• ?

6
5) Which inequality does NOT use an open dot on
the number line?

• lt
• gt
• ?

7
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
• Draw the river
• 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

• Draw the river
• Subtract 21 from both sides
• Simplify
• Check your answer
• 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

• Draw the river
• Subtract 8y from both sides
• Simplify
• Add 14 to both sides
• Simplify
• Rewrite inequality with the variable first
• Check your answer
• Graph the solution

10
9) What is the graph of 7 m?

?
11
10) Solve 3r - 17  2r 14
- 2r - 2r r 17 14
17 17 r 31 3(31) -
17 2(31) 14

• Draw the river
• Subtract 2r from both sides
• Simplify
• Add 17 to both sides
• Simplify
• Check your answer
• Graph the solution

12
11) Solve -2x 6 3x - 4

• x -2
• x -2
• x 2
• x 2

13
12) Joannas tests were 87, 93, 88 and 94. What
must her 5th grade be to get a total of at least
459?

• 96
• 97
• 98
• 100