(3-x)<x/3

Answer 1

To solve this inequality, we'll isolate the variable x on one side:

(3 - x) < x/3

First, let's eliminate the fraction by multiplying both sides of the inequality by 3:

3(3 - x) < x

Simplify the left side:

9 - 3x < x

Now, let's get rid of x on the right side by subtracting x from both sides of the inequality:

9 - 3x - x < 0

Combine like terms:

9 - 4x < 0

Now, we isolate x by subtracting 9 from both sides:

-4x < -9

Divide both sides by -4. Since we are dividing by a negative number, the inequality sign flips:

x > 9/4

So the solution to the inequality is x is greater than 9/4.