Example 1: Evaluating Inequalities—Finding a Solution

This Instructional Activity is a part of the Lesson 13, Unit 3, Grade 7. The sum of two consecutive odd integers is more than -12. Write several true numerical inequality expressions. To ensure that the integers will be odd and not even, the first odd integer is one unit greater than or less than an even integer. If x is an integer, then 2x would ensure an even integer, and 2x + 1 would be an odd integer since it is one unit greater than an even integer.