1. Two Truths, one lie Activity
Agenda
Two Truths, one lie Activity
3w+5w-4t+5k
Two Truths one lie activity
2-step inequalities
Guided practice

2. Introduction Video

3. 2-step inequalities
Earlier in the year, we learned how to solve inequalities.
Remember what the open circle
And closed circle represent?

4. 2-step inequalities
Earlier in the year, we learned how to solve inequalities.
Remember what the open circle
And closed circle represent?
Open circle represents < or > and
Closed circle represents < or >

5. 2-step inequalities
We also learned that if an inequality was greater than we highlighted the right (or greater) side of the number line:
If the inequality was less than we highlighted the left (or less) side of the number line:

6. 2-step inequalities
When we solve 2-step inequalities, we solve just as if the problem had an equals sign.
For example consider the problem:
2y – 3 < -5

7. Example 2y – 3 < -5 +3 +3 add 3 to both sides 2y < -2
divide both sides by 2
y < -1
graph

8. Another example
Don’t forget: if you multiply or divide by a negative number, you must reverse the inequality sign.
-9 > x + 6 -3
-9 > x + 6
subtract 6
(-3)-15 > x (-3)
-3 multiply by -3
45 < x x > 45

9. Try These: 5a – 9 > 11 17 + .5 c <14 6 – x > 3
8.3 < -0.5b – 2.7
4x + 5 ≥ 21
-14≤ -2p + 7
11 + 8c ≥ 9c

10. Answers: 5a – 9 > 11 a > 4 17 + .5 c <14 c < -6
6 – x > 3 x < 3
8.3 < -0.5b – 2.7 b < -22
4x + 5 ≥ 21 x ≥ 4
-14≤ -2p p ≤ 10.5
11 + 8c ≥ 9c c ≤ 11

11. 2-Step Inequalities Worksheet:
Complete the two – step inequalities worksheet.
Show all work and graph your answers on the given number lines.
REMEMBER: Open versus Closed Circles!

12. Reference