LESSON
8.3
Writing Two-Step Inequalities
How do you write a two-step inequality?
ADDITIONAL EXAMPLE 1
Trevor is writing a paper that must be at least
50,000 words long. He has already written 23,210
words. Write an inequality to find the average
number of words Trevor must write per week if he
wants to finish the paper in the next 5 weeks.
23,210 + 5w
50,000
ADDITIONAL EXAMPLE 2
Write a corresponding real-world problem to
represent 150 – 4x 20.
Sample answer: Julie has $150. She wants to buy
4 identical bouquets of flowers, but she needs to
have at least $20 left after buying the flowers.
How much can Julie spend on each bouquet of
flowers?
8.3 LESSON QUIZ
7.10.A, 7.10.C
1. Draw algebra tiles to model 5t – 6
2.
2. Connie’s dog Fido weighs 35 pounds. Her vet
placed Fido on a diet. What inequality can you
write to find the average number of pounds Fido
must lose monthly to reach a healthier weight
of 28 pounds within 6 months? 35 – 6m 28
3. Jerome spent $20 on supplies to make 50
cookies for a bake sale. What inequality can
you write to find the price Jerome should
charge for each cookie if he wants to have a
profit of more than $60? 50c – 20 > 60
4. Write a real-world problem for the inequality
8 – 2x 5.
Bob and Tino have 8 pounds of grapes and a bag
that can hold at most 5 pounds. If Bob and Tino
both eat the same amount, how many pounds
of grapes can each eat so that the remaining
grapes will fit in the bag?
How do you write a two-step inequality?
Sample answer:
Identify the important numbers in the problem,
and use words and phrases from the problem
to decide what operations and symbols to use
in the inequality.