1. MSA 3.5 - Solving Inequality Equations
Learning Target: I will solve symbolic equations with inequalities through word problems.
Homework Inv 3 Day 6:
Complete pkt p
Correct as you ‘check’ each answer. Then correct with the KEYs.
Warm Up: Review p with your partner.

2. 𝟖−𝟒𝐱≥ −𝟏𝟐 Solve the inequality Graph the inequality
Inv 3 Day 5 p Solving inequalities with negative variables.
Solve the inequality
Graph the inequality
𝟖−𝟒𝐱≥ −𝟏𝟐
Test point:

3. Solve the inequality
Graph the inequality
−𝟓𝐱−𝟗≥−𝟒
Test point:

4. −𝐱 𝟖 +𝟐≤−𝟏𝟐
Test point:

5. −𝟑𝐱−𝟕>𝟐𝐱−𝟐𝟑
Test point:

6. 𝟓 −𝟑𝐱−𝟏 +𝟕≤−𝐱−𝟏𝟎
Test point:

7. Day 6 MSA 3.5: INEQUALITY WORD PROBLEMS p. 16
At fabulous Fabian’s bakery, the expenses (E) to make n cakes per month is given by the equation E= n. The income (I) for selling n cakes is given by the equation I=8.20n.
A. What does the coefficient next to n in each equation represent?

8. B. Fabian sells 100 cakes in January.
At fabulous Fabian’s bakery, the expenses (E) to make n cakes per month is given by the equation E= n. The income (I) for selling n cakes is given by the equation I=8.20n.
B. Fabian sells 100 cakes in January.
1. What are his expenses? Show your reasoning
2. What is his income? Show your reasoning.
3. What is his profit? Describe how you found your answer.

9. At fabulous Fabian’s bakery, the expenses (E) to make n cakes per month is given by the equation E= n. The income (I) for selling n cakes is given by the equation I=8.20n.
4. How many cakes can Fabian make if he wants his expenses to be less than $2,400 a month? Write an inequality and solve.
5. How many cakes can he make if he wants his income to be greater than $2,400 a month? Write an inequality and solve.

10. For the following inequalities, find the number of cakes Fabian needs to make in a month.
𝟏) 𝑬<𝟏,𝟒𝟕𝟓 2) 𝑰>𝟏,𝟔𝟒𝟎

11. Back in the day cell phones were becoming increasingly popular
Back in the day cell phones were becoming increasingly popular. Different carriers offered different plans to their members and people had to use mathematical reasoning and inequalities to determine the best plan for their family. Driftless Region Telephone Company had a plan that charged a monthly rate of $10 and $.03 per text (there was no such thing as unlimited texting! The horror!).
Walby Communications charged $7.50 a month plus $.04 cents a text.
a.) Predict: If you were paying for a plan what carrier would you choose and why?
b.) Write an equation that represents the scenario using the variable t for texts and d for dollars.
Driftless Region Telephone:
Walby Communications:

12. c.) At about what point is it less expensive to go with Walby Communications? At what point is it better to go with Driftless Region Telephone? Think about the “break even” point! Justify your reasoning.

13. d.) If you had a maximum of $15 to spend per month, what plan would you chose? Set up an inequality for both and solve, to determine the best plan.
Driftless Region Telephone: Walby Communications:

14. If you had a maximum of $25 to spend per month, what plan would you chose? Set up an inequality for both and solve, to determine the best plan.
Driftless Region telephone: Walby Communications:

15. MSA 3.5 - Solving Inequality Equations
Did I reach my Learning Target? I will solve symbolic equations with inequalities through word problems.
Homework Inv 3 Day 6:
Complete pkt p
Correct as you ‘check’ each answer.