Question

solve the inequality and graph the solution.
\\(\frac{d}{2} > 2\\)
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.
submit

Explanation:

Step1: Multiply both sides by 2

To solve the inequality \(\frac{d}{2} > 2\), we multiply both sides by 2 to isolate \(d\). Multiplying both sides of an inequality by a positive number does not change the direction of the inequality sign. So we have:

$$ \frac{d}{2} \times 2 > 2 \times 2 $$

Step2: Simplify both sides

Simplifying the left side, \(\frac{d}{2} \times 2 = d\), and the right side, \(2\times2 = 4\). So the inequality simplifies to:

$$ d > 4 $$

To graph the solution:

• We draw a number line.
• Since \(d > 4\), we place an open circle at \(4\) (because \(4\) is not included in the solution set) and draw an arrow to the right to represent all numbers greater than \(4\).

Answer:

The solution to the inequality is \(d > 4\). For the graph, there is an open circle at \(4\) and an arrow pointing to the right on the number line.