Question

solve the inequality and graph the solution.
19 + 9f < 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: Subtract 19 from both sides

To isolate the term with \( f \), we subtract 19 from both sides of the inequality \( 19 + 9f < 10 \). This gives us \( 19 + 9f - 19 < 10 - 19 \), which simplifies to \( 9f < -9 \).

Step2: Divide both sides by 9

To solve for \( f \), we divide both sides of the inequality \( 9f < -9 \) by 9. So, \( \frac{9f}{9} < \frac{-9}{9} \), which simplifies to \( f < -1 \).

Answer:

The solution to the inequality is \( f < -1 \). For the graph, plot an open endpoint at \( -1 \) (since the inequality is strict, \( < \)) and draw an arrow to the left (indicating all values less than \( -1 \)).