Question

Extended Response

6. a. Seven less than the product of 3 and some number is greater than or equal

to -4 and less than 5. Write a compound inequality that you could use to

find the possible values for the number.

Answer 1

The compound inequality that could be used to find the possible values for the number is 3x - 7 ≥ -4 < 5

Explanation:

Let the number be x

Now, we will interpret the question

From the question,

• Seven less than the product of 3 and some number

That is, 7 deducted from the product of 3 and the number.

Product of 3 and the number is 3x; and 7 deducted from it will be

3x - 7

• is greater than or equal to -4

greater than or equal to -4 is represented by

≥ -4

Hence, putting the statements together, we will get

3x - 7 ≥ -4

• and less than 5

less than 5 can be represented by

< 5

Hence, putting all the statements together, we will get

3x - 7 ≥ -4 < 5

This is the compound inequality that could be used to find the possible values for the number.