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Question

Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.

User Fuco
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1 Answer

12 votes

Given:

The compound inequality is


9<3x+6\leq 15

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,


9<3x+6\leq 15

Subtracting 6 from each side, we get


9-6<3x+6-6\leq 15-6


3<3x\leq 9

Divide each side by 3.


(3)/(3)<(3x)/(3)\leq (9)/(3)


1<x\leq 3

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

User Vitalij
by
8.7k points

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