1. INEQUALITIES Solve Inequalities by Addition & Subtraction
Designed by Cassie DeLany ~ Richmond Early College

2. LEARNING TARGET I can…. graph inequalities on a number line.
solve inequalities using addition and subtraction.

3. 1) Graph the solution set of x < 3.
When you have < or >, use an open dot!

4. 2) Graph the solution set of y ≥ -5/4.•
When you have ≤ or ≥, use a closed dot!
Converting -5/4 to a decimal =

5. 3) Graph the solution set of p ≠ 2.
When you have ≠, use an open dot and shade both ways!

6. 4) Which inequality would have a closed dot on the number line?
>
< ≥ ≠
Answer Now

7. 5) Which inequality does NOT use an open dot on the number line?≤
<
> ≠
Answer Now

8. 6) Solve x + (-14) < 16 x - 14 < 16 + 14 + 14 x < 30
x < 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 o 30 31 29

9. 7) Solve y + 21 ≥ 7 y ≥ -14 (-14) + 21 = 7 7 = 7 ● - 21 -21 -14 -13
y ≥ -14
(-14) + 21 = 7
7 = 7
Draw the “river”
Subtract 21 from both sides
Simplify
Check your answer
Graph the solution
-14
-13
-15 ●

10. 8) Solve 8y + 3 > 9y - 14 - 8y - 8y 3 > y - 14 + 14 + 14
17 > y
y < 17
8(17) + 3 = 9(17) - 14
Draw “the river”
Subtract 8y from both sides
Simplify
Add 14 to both sides
Rewrite inequality with the variable first
Check your answer
Graph the solution o 17 18 16

11. 9) What is the graph of 7 ≤ m? ● ● o o 7 8 6 7 8 6 7 8 6 7 8 6
Answer Now

12. 10) Solve 3r - 17 ≥ 2r + 14 - 2r - 2r r – 17 ≥ 14 + 17 + 17 r ≥ 31 ●
r ≥ 31
3(31) - 17 = 2(31) + 14
Draw “the river”
Subtract 2r from both sides
Simplify
Add 17 to both sides
Check your answer
Graph the solution ● 31 32 30

13. 11) Solve -2x + 6 ≥ 3x - 4
x ≥ -2
x ≤ -2
x ≥ 2
x ≤ 2
Answer Now

14. 12) Joanna’s tests were 87, 93, 88 and 94
12) Joanna’s 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
Answer Now