Solve for x:

Question

x + 3/6 > x/4 + 1

Answer 1

To solve this inequality, we'll need to eliminate the fractions. Let's multiply every term by the least common denominator, which is 12.

12(x + 3/6) > 12(x/4) + 12(1)

Simplifying both sides of the inequality:

12x + 3 > 3x + 12

Next, we move all the x terms to one side of the inequality and all the constant terms to the other side.

12x - 3x > 12 - 3

Combine like terms:

9x > 9

Now, divide both sides of the inequality by 9:

x > 1

So the solution to the inequality is x > 1.