# Lesson 1

Writing and Graphing Inequalities

### Problem 1

At the book sale, all books cost less than \$5.

1. What is the most expensive a book could be?
2. Write an inequality to represent costs of books at the sale.
3. 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.

1. $$h > 1$$

2. $$h > 2$$

3. $$h < 1$$

4. $$h < 2$$

### Problem 3

1. Show that the two triangles are congruent.
2. Find the side lengths of $$DEF$$ and the angle measures of $$ABC$$.

### Solution

(From Unit 1, Lesson 11.)

### Problem 4

Here is a polygon on a grid.

Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.