Question

solve the inequality and graph the solution. 1 < \frac{a - 1}{4} to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Solve the inequality

Starting with \(1 - \frac{d}{4}<1\), subtract 1 from both sides: \(1 - 1-\frac{d}{4}<1 - 1\), which simplifies to \(-\frac{d}{4}<0\). Multiply both sides by - 4. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we get \(d > 0\).

Step2: Graph the solution

On the number - line, the endpoint is \(d = 0\). Since the inequality is \(d>0\), the endpoint is open (a hollow circle at \(d = 0\)) and the ray points to the right (towards positive values of \(d\)).

Answer:

The solution of the inequality is \(d>0\). On the number - line, plot an open circle at \(d = 0\) and draw a ray pointing to the right.