Solve for xx and graph the solution on the number line below.
minus, 1, is less than or equal to, start fraction, x, divided by, minus, 3, end fraction
−1≤
−3
x
To solve for x, we need to isolate x in the given inequality.
We can start by multiplying both sides of the inequality by -3 (since dividing by a negative number would cause the inequality sign to flip):
-3(-1) ≤ x
3 ≤ x
So, the solution to the inequality is x ≥ 3.
To graph this solution on a number line, we can mark a closed circle at 3 and draw a solid line to the right to represent all the numbers greater than or equal to 3.
Here's how the graph would look like:
<----------[●================>
3