Solve the inequality and graph the solution.

Question

14 > 4q + 2

Answer 1

To solve the inequality, we can start by subtracting 2 from both sides:
14 - 2 > 4q + 2 - 2
12 > 4q
Next, we can divide both sides by 4:
12/4 > 4q/4
3 > q

So the solution to the inequality is q < 3.

To graph the solution, we can draw a number line and mark the point 3 with an open circle to indicate that it is not included in the solution. Then, shade the area to the left of 3 to represent all the values of q less than 3. The final graph should show an open circle on 3 and a shaded region to the left.