Solve X -1/3 <_1/2

Answer 1

To solve the inequality X - 1/3 ≤ 1/2, we need to isolate X.

First, let's get rid of the fraction by multiplying both sides of the inequality by 6 (the least common denominator of 3 and 2):

6 × (X - 1/3) ≤ 6 × (1/2)

Simplifying, we have:

6X - 2 ≤ 3

Next, let's isolate X by adding 2 to both sides:

6X - 2 + 2 ≤ 3 + 2

This simplifies to:

6X ≤ 5

To isolate X further, divide both sides of the inequality by 6:

(6X)/6 ≤ 5/6

Simplifying, we have:

X ≤ 5/6

Therefore, the solution to the inequality is X ≤ 5/6.