Question

solve the inequality and graph the solution.
-10 + 5d < 10
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: Add 10 to both sides

To isolate the term with \( d \), we add 10 to both sides of the inequality \(-10 + 5d < 10\). This gives us \(-10 + 10 + 5d < 10 + 10\), which simplifies to \(5d < 20\).

Step2: Divide both sides by 5

To solve for \( d \), we divide both sides of the inequality \(5d < 20\) by 5. So, \(\frac{5d}{5} < \frac{20}{5}\), which simplifies to \(d < 4\).

For graphing the solution:

• The endpoint is at 4 (since the inequality is strict, \(d < 4\), the endpoint is open).
• The arrow points to the left (towards negative infinity) because we want all values of \(d\) less than 4.

Answer:

The solution to the inequality is \(d < 4\). To graph it, plot an open circle at 4 and draw an arrow to the left.