17.0k views
2 votes
What is the only whole- number solution to the compound inequality 11 < 3x - 4 and 35 > 5x + 2??

User Dbtek
by
8.1k points

1 Answer

4 votes

We are asked to find the only whole-number solution to the inequality system:

11 < 3 x - 4

35 > 5 x + 2

Solving for x in both inequalities, we get:

11+ 4 < 3 x

15 < 3 x

15/3 < x

5 < x

and:

35 - 2 > 5 x

33 > 5 x

33/5 > x

6.6 > x

When we plot this inequality on the number line, we get the following image that shows clearly the only whole-number solution:

so, since 5 cannot be selected because the inequality asks for STRICTLY larger than 5, the only whole-number left is "6".

What is the only whole- number solution to the compound inequality 11 < 3x - 4 and-example-1
User Mmorris
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories