Worksheet: Multistep Inequalities
In this worksheet, we will practice solving multistep inequalities.
Q2:
Solve the inequality in .
- A
- B
- C
- D
- E
Q3:
Find the solution set of the inequality in . Give your answer in interval notation.
- A
- B
- C
- D
Q4:
Solve the inequality in .
- A
- B
- C
- D
- E
Q5:
Solve the inequality in .
- A
- B
- C
- D
- E
Q6:
Solve the inequality in .
- A
- B
- C
- D
Q7:
Solve the inequality in .
- A
- B
- C
- D
- E
Q8:
Given that , solve the inequality .
- A
- B
- C
- D
- E
Q9:
Solve the inequality in .
- A
- B
- C
- D
Q10:
Solve the inequality in .
- A
- B
- C
- D
- E
Q11:
Solve the inequality in .
- A
- B
- C
- D
- E
Q12:
Solve the inequality in .
- A
- B
- C
- D
- E
Q13:
Solve the inequality in .
- A
- B
- C
- D
- E
Q14:
Find the solution set of the inequality in . Give your answer in interval notation.
- A
- B
- C
- D
- E
Q15:
Suppose that . Solve the inequality .
- A
- B
- C
- D
- E
Q16:
Given that , solve the inequality .
- A
- B
- C
- D
- E
Q17:
When hired at a new job selling electronics, you are given two pay options:
- Option A: a base salary of a year with a commission of of your sales.
- Option B: a base salary of a year with a commission of of your sales.
How many dollarsβ worth of electronics would you need to sell for Option A to produce a larger income?
- AMore than worth of electronics
- BMore than worth of electronics
- CMore than worth of electronics
- DMore than worth of electronics
Q18:
When hired at a new job selling electronics, you are given two pay options:
- Option A: a base salary of a year with a commission of of your sales
- Option B: a base salary of a year with a commission of of your sales
How many dollarsβ worth of electronics would you need to sell for option A to produce a larger income?
- Amore than worth of electronics
- Bmore than worth of electronics
- Cmore than worth of electronics
- Dmore than worth of electronics
Q20:
William and Daniel are competing on a quiz app. William has 400 points and is losing 2 points per minute; Daniel has 250 points and is winning 10 points per minute.
Write an inequality which can be used to find , the amount of time for which William has no fewer points than Daniel.
- A
- B
- C
- D
- E
Use your inequality to find the time when Daniel catches up with William. Assume that points are won or lost at a constant rate.
- A6 minutes
- B minutes
- C minutes
- D minutes
- E14 minutes
Q21:
A cell phone company offers the following two plans:
- Plan A: $20 per month and $1 for every one hundred texts.
- Plan B: $50 per month with free, unlimited texts.
How many texts would you need to send per month for plan B to save you money?
- AMore than 3,000
- BLess than 3,000
- CLess than 30
- DMore than 30
Q23:
You just got a new job in retail and you are given two options for your earnings:
Option 1: Base salary of $15,000 per year plus a commission of of your sales.
Option 2: Base salary of $18,000 per year plus a commission of of your sales.
How much money in sales would you need to make in order for Option 1 to yield a higher income than Option 2?
- AMore than $137,500
- BMore than $12,500
- CMore than $75,000
- DMore than $18,000
Q24:
A moving company charges a flat rate of $150 and an additional $5 for each box. If a taxi service charged $20, for how many boxes would it be cheaper to move with the taxi service than with the moving company?
- Amore than 6 boxes
- Bonly at 10 boxes
- Cmore than 10 boxes
- Dless than 10 boxes
- Eless than 6 boxes