If what is one possible value of
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Any value greater than and less than
Recognizing the structure of this inequality provides one solution strategy. With this strategy, a student will look at the relationship between and and recognize that the latter is −3 multiplied by the former.
Multiplying all parts of the inequality by −3 reverses the inequality signs, resulting in or rather when written with increasing values from left to right. Any value greater than and less than is correct.
Students must convert an existing compound inequality into a different format and find a value that satisfies all conditions.