1. Creating and Solving Inequalities
2.4
Creating and Solving Inequalities

2. Solving inequalities is like solving equations… just remember to reverse the inequality sign when multiplying or dividing by a negative number.

3. Solve and graph.
-7x + 2 > -5

4. Solve and graph.
6x + 21 < 9x + 6

5. Ready for a challenge?
8x – 4 > 4(2x – 1)

6. What about….
-2x + 9 < -2(x – 3)

7. Solve and justify your steps to solve -3(x - 4) < 6.
Inequality
Explanation
Mathematical Reason
-3(x – 4) < 6
Write original equation
Given

8. Write an inequality and solve.
You can work at most 24 hours per week as a nurse’s aid. So far this week you have worked 7 hours. If the remaining shifts for the week are each 4 hours long, how many possible full shifts can you work?

9. Write an inequality and solve.
A box of cat treats contains at least 50 treats. So far you have fed your cats 18 treats. If you want the box of treats to last 8 days, what are the possible average numbers of treats you can feed the cats per day?

10. Turn to page 76.
Complete Explain 2 with your partner.
Turn to page 77.
Complete Elaborate with your partner.

11. It’s Jeopardy Time
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12. Homework
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