The sum of all integral values of x satisfying the inequality 3^ 52 _3(12-3x) -3^ _2x >32 is ____.

JEE Main Mathematics question

The sum of all integral values of satisfying the inequality is .

Answer: 3

Simplify the first power: , which needs , i.e. ; and needs . Test the integers: gives

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-008192