Question

Solve for x and graph the solution on a number line below.
1, is greater than or equal to, start fraction, x, divided by, 3, end fraction

Answer 1

To solve for x, we need to isolate x on one side of the inequality.

1 ≥ x/3

To get rid of the fraction, we can multiply both sides of the inequality by 3:

3(1) ≥ 3(x/3)
3 ≥ x

Therefore, x is less than or equal to 3.

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

<---|---|---|---|--->
0 1 2 3 4

Since x is less than or equal to 3, we shade the region to the left of 3 and include the point 3.

<---|---|---o--->
0 1 2 3 4

So, the solution for x is x ≤ 3.