Question

What is the first step to solve the inequality x-5<x/6

Answer 1

is it
.
Divide both sides of the inequality by 6

Divide both sides of the inequality by x

Multiply both sides of the inequality by x
or Multiply both sides of the inequality by 6

Answer 2

The first step to solve the inequality x-5<x/6 is to simplify the equation by combining like terms.

x - 5 < x/6

Next, subtract x from both sides of the inequality to get all the x terms on one side.

-x - 5 < x/6 - x

-5 < x/6 - x

Simplify further,

-5 < (x - 6x)/6

-5 < -5x/6

Now, multiply both sides by 6 to get rid of the fraction.

-30 < -5x

Finally, divide both sides by -5 to solve for x.

6 > x

So, the solution to the inequality x-5<x/6 is x > 6.

Answer 3

My apologies for the confusion in the previous response. To solve the inequality x - 5 < x/6, the correct first step is to multiply both sides of the inequality by 6 to eliminate the fraction. Here is the correct step-by-step solution:

1. Multiply both sides of the inequality by 6:
6(x - 5) < x
6x - 30 < x

2. Subtract x from both sides to get all x terms on one side:
6x - x < 30
5x < 30

3. Divide both sides by 5 to solve for x:
x < 30/5
x < 6

Therefore, the correct solution to the inequality x - 5 < x/6 is x < 6. Thank you for pointing out the error.