Lesson 8
Writing and Graphing Inequalities
Let’s write inequalities.
Problem 1
At the book sale, all books cost less than $5.
 What is the most expensive a book could be?
 Write an inequality to represent costs of books at the sale.
 Draw a number line to represent the inequality.
Problem 2
Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let \(h\) represent the number of hours Kiran worked on his homework.
Decide if each statement it is definitely true, definitely not true, or possibly true. Explain your reasoning.

\(h > 1\)

\(h > 2\)

\(h < 1\)

\(h < 2\)
Problem 3
Consider a rectangular prism with length 4 and width and height \(d\).
 Find an expression for the volume of the prism in terms of \(d\).

Compute the volume of the prism when \(d=1\), when \(d=2\), and when \(d=\frac12\).
Problem 4
Match the statements written in English with the mathematical statements. All of these statements are true.
Problem 5
Here are five sums. Use the distributive property to write each sum as a product with two factors.
 \(2a+7a\)
 \(5z10\)
 \(c2cd\)
 \(r+r+r+r\)
 \(2x\frac12\)