Solve for xx and graph the solution on the number line below.

Question

1>x/5

Answer 1

First, let's solve the inequality for x:

1 > x/5

To solve for x, multiply both sides of the inequality by 5:

5 * 1 > 5 * (x/5)

5 > x

So, the solution is:

x < 5

This means that any value of x that is less than 5 is a solution to the inequality.

Now let's graph the solution on a number line:

← ----|----|----|----|----|----|----|----|----|----|----|----|----→
0 1 2 3 4 5 6 7 8 9 10

On the number line, you would shade everything to the left (<) of 5. The point at 5 is not included in the solution, so you would use an open circle (which I will represent as a parentheses) at 5:

← ----|----|----|----|----(----|----|----|----|----|----|----|----→
0 1 2 3 4 5 6 7 8 9 10

Since this is only text, it's not possible to show an actual shaded line. But, if you were to draw this out, you would shade to the left of the open circle at 5 to indicate all the numbers less than 5 are part of the solution.