To solve the inequality -8 + 9q < 10, we can start by isolating the variable q.
Adding 8 to both sides of the inequality, we get:
-8 + 8 + 9q < 10 + 8
9q < 18
Next, divide both sides of the inequality by 9:
(9q)/9 < 18/9
q < 2
Therefore, the solution to the inequality is q < 2.
To graph the solution on a number line, we plot an open circle at 2 and shade to the left of it. This represents all the values of q that are less than 2.
Number Line:
--------------o----------------------------------------------
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Solve the inequality and graph the solution
–8+9q<10
1 answer