Question

x-5<x/6

Answer 1

To solve the inequality, we can multiply both sides of the inequality by 6 to eliminate the fraction. This gives us:

6(x-5) < x.

Expanding the expression on the left side, we get:

6x - 30 < x.

Now, we can subtract 6x from both sides of the inequality to isolate the x term:

-30 < x - 6x.

This simplifies to:

-30 < -5x.

To solve for x, we divide both sides of the inequality by -5. However, when dividing by a negative number, we need to flip the direction of the inequality:

30 > 5x.

Finally, divide both sides of the inequality by 5 to solve for x:

6 > x.

Thus, the solution to the inequality is x > 6.