x - 2 1/3 < 2 1/6

Answer 1

To compare these two fractions, we want to get the same denominator for both sides of the inequality.

The denominators of 1/3 and 1/6 are 3 and 6.

To get the same denominator, we need to multiply the numerator and denominator of 1/3 by 6, and multiply the numerator and denominator of 1/6 by 3.

So, the inequality becomes:

6x - 4 < 2

Adding 4 to both sides of the inequality, we get:

6x < 6

Dividing both sides of the inequality by 6, we have:

x < 1

So, the solution to the inequality is x < 1.