Question

solve the inequality and graph the solution.
1 - q < -1
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 1 from both sides

$1 - q - 1 < -1 - 1$
$-q < -2$

Step2: Multiply by -1 (reverse inequality)

$(-1)(-q) > (-1)(-2)$
$q > 2$

Answer:

The solution to the inequality is $q > 2$. To graph this:

1. Plot an open endpoint at $q=2$ on the number line.
2. Draw an arrow pointing to the right from this endpoint, indicating all values greater than 2 are part of the solution.