Question

solve the inequality and graph the solution.
-10 + 10n < 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.

-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Add 10 to both sides

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

Step2: Divide by 10

Next, we divide both sides of the inequality \(10n < 20\) by 10 to solve for \( n \). So, \(\frac{10n}{10} < \frac{20}{10}\), which simplifies to \(n < 2\).

Step3: Graph the solution

To graph \( n < 2 \) on the number line, we plot an open circle at \( 2 \) (since the inequality is strict, \( n \) is not equal to 2) and draw an arrow to the left to represent all numbers less than 2.

Answer:

The solution to the inequality is \( n < 2 \). The graph has an open circle at 2 and an arrow pointing to the left.