Question

What is the first step in solving the equation x-5<x/6

Answer 1

The first step in solving the equation x-5 < x/6 is to get rid of the fraction. To do this, we can multiply the entire equation by 6, which gives us:

6(x-5) < x

Simplifying further:

6x - 30 < x

Now, we can solve for x by isolating the variable. Let's subtract 6x from both sides:

-30 < x - 6x

Combining like terms:

-30 < -5x

Finally, we divide both sides by -5. However, when dividing or multiplying an inequality by a negative number, we have to flip the direction of the inequality sign:

-30/-5 > -5x/-5

6 > x

So, the solution is x > 6.