Question

solve the inequality and graph the solution.
w - 3 < 4
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.

Explanation:

Step1: Solve the inequality

Add \(3\) to both sides of \(w - 3<4\).
$$w-3 + 3<4 + 3$$
$$w<7$$

Step2: Graph the solution

Since \(w < 7\), we use an open - circle at \(w = 7\) (because \(7\) is not included in the solution set) and draw an arrow to the left (towards the smaller numbers).

Answer:

The solution of the inequality \(w-3 < 4\) is \(w<7\). On the number - line, we have an open circle at \(7\) and an arrow pointing to the left.