7A.18.b

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. [Grade 7, 9, and linear portion of Algebra I with Probability, 11]

Example Problems
Caroline can spend a maximum of $80 on dinner. She has a coupon for $10 off the total bill, and each meal costs $12.

Write and solve a two-step inequality to find how many meals,
, she can buy.
Logan has 18 coins in his coin collection. He buys 3 coins each week at the collector's club. He wants more than 60 coins total.

Write and solve a two-step inequality for the number of weeks,
x, needed.
A photographer already has 24 completed portraits in a portfolio. They plan to add 5 portraits per week. They want the total to be at least 100 portraits.

Write a two-step inequality and solve for the number of weeks,
.
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