X in 2x+6<5(x-3)

Answer 1

Let's begin by solving this inequality for x:

2x + 6 < 5(x - 3)

2x + 6 < 5x -15

Subtracting 2x from both sides gives:

6 < 3x - 15

Adding 15 to both sides gives:

21 < 3x

Dividing both sides by 3 gives:

7 < x

Therefore the solution to the inequality is x > 7.