Question

solve the inequality and graph the solution.
1 ≥ w - 3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
save answer

Explanation:

Step1: Solve the inequality

Add \(3\) to both sides of the inequality \(1\geq w - 3\).
$$1+3\geq w-3 + 3$$
$$4\geq w$$
which can be rewritten as \(w\leq4\).

Step2: Graph the solution

On the number - line, since the inequality is \(w\leq4\), we place a closed circle at \(4\) (because the inequality includes equality, i.e., \(w\) can be equal to \(4\)) and draw a ray to the left (because \(w\) is less than or equal to \(4\)).

Answer:

The solution of the inequality \(1\geq w - 3\) is \(w\leq4\). On the number - line, there is a closed circle at \(4\) and a ray extending to the left from \(4\).