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LESSON 5–3
Solving Multi-Step
Inequalities
Over Lesson 5–2
Over Lesson 5–2
Over Lesson 5–2
Solve –9v ≥ –108.
Over Lesson 5–2
Over Lesson 5–2
Which inequality represents one half of Dan’s
savings is less than $60.00?
A.
B.
C.
D.
Targeted TEKS
2(H) Write linear inequalities in two variables
given a table of values, a graph, and a verbal
description.
A.5(B) Solve linear inequalities in one
variable, including those for which the
application of the distributive property is
necessary and for which variables are
included on both sides.
Mathematical Practices
A.1(F), A.1(G)
Inequality Involving a Negative Coefficient
Solve 13 – 11d ≥ 79.
Solve –8y + 3 > –5.
Distributive Property
Solve 6c + 3(2 – c) ≥ –2c + 1.
Solve 3p – 2(p – 4) < p – (2 – 3p).
Empty Set and All Reals
A. Solve –7(k + 4) + 11k ≥ 8k – 2(2k + 1).
Empty Set and All Reals
B. Solve 2(4r + 3)  22 + 8(r – 2).
A. Solve 8a + 5 ≤ 6a + 3(a + 4) – (a + 7).
B. Solve 4r – 2(3 + r) < 7r – (8 + 5r).
Write and Solve an Inequality
Define a variable, write an inequality, and solve the
problem below.
Four times a number plus twelve is less than the
number minus three.
Write an inequality for the sentence below. Then
solve the inequality.
6 times a number is greater than 4 times the number
minus 2.
Solve a Multi-Step Inequality
TAXES Adriana has a budget of $115 for taxes.
The tax service she uses charges $25 to activate
an account and $0.08 per receipt to file taxes. How
many receipts can Adriana file and stay within her
budget?
Rob has a budget of $425 for senior pictures. The
cost for a basic package and sitting fee is $200. He
wants to buy extra wallet-size pictures for his
friends that cost $4.50 each. How many wallet-size
pictures can he order and stay within his budget?
LESSON 5–3
Solving Multi-Step
Inequalities