Question

you found that 10 is the boundary point and is also a solution to the inequality. how can you represent this on a number line? -9p ≤ -90 -9p = -90 p = 10

Explanation:

Step1: Analyze the inequality type

For the inequality \(-9p\leq - 90\), when solving \(p\geq10\). Since \(10\) is a solution (because of the \(\leq\) sign which becomes \(\geq\) after dividing by a negative number \(-9\)), on the number - line, a closed (filled) circle is used for inclusive boundaries.

Step2: Determine the direction of the arrow

Since \(p\geq10\), the arrow should point to the right (towards larger numbers).

Answer:

The first number - line (with the filled circle at \(10\)) is the correct representation.