Question

Solve the inequality: 8q−9<7. Plot the endpoints and select the segment that represents the solution.

Answer 1

Solve the inequality by first adding 9 to both sides, then dividing by 8, resulting in q < 2. Plot this on a number line with an open circle at q = 2 and shade to the left.

Step-by-step explanation:

To solve the inequality 8q−9<7, we need to isolate the variable q on one side of the inequality.

1. Add 9 to both sides of the inequality to get 8q < 16.
2. Divide both sides by 8 to get the solution for q, which is q < 2.

To represent this on a number line, you would plot a point at q = 2 and shade everything to the left of that point, indicating all the numbers less than 2. The point at q = 2 would not be filled in because the inequality is strictly less than (<), not less than or equal to (≤).