What is the first step to solve the inequality x-5<x/6
A.
Divide both sides of the inequality by 6 to simplify:
-
<6
B.
Divide both sides of the inequality by x to simplify: 1-
<6
C.
Multiply both sides of the inequality by x to simplify: x-5 < 6
D.
Multiply both sides of the inequality by 6 to simplify: 6x-30 < x
The correct first step to solve the inequality x-5 < x/6 is:
A. Divide both sides of the inequality by 6 to simplify:
6(x-5) < x
The correct answer is A. Divide both sides of the inequality by 6 to simplify: x/6 - 5/6 < x/6.
The first step to solve the inequality x-5 < x/6 is to simplify the expression. Here's how you can do it:
First, let's get rid of the fraction by multiplying both sides of the inequality by 6:
6(x-5) < x
Now, distribute the 6 on the left side of the inequality:
6x - 30 < x
At this point, we have an inequality with x terms on both sides, so we can proceed to solve it. However, before that, let's rearrange the inequality so that the x term is on the left side:
6x < x + 30
Now, to isolate the x term on one side, we can subtract x from both sides:
6x - x < 30
This simplifies to:
5x < 30
Finally, divide both sides of the inequality by 5 to solve for x:
x < 6
Therefore, the first step to solve the inequality x-5 < x/6 is to multiply both sides by 6, which results in 6x - 30 < x.