Choose the correct solution and graph for the inequality

q+ 1/3 > 1/2

1 answer

The correct solution and graph for the inequality q + 1/3 > 1/2 would involve isolating q on one side of the inequality symbol.

Solution:
To isolate q, subtract 1/3 from both sides of the inequality:
q + 1/3 - 1/3 > 1/2 - 1/3
q > 3/6 - 2/6
q > 1/6

Graph:
To graph the inequality, plot a closed circle on the number line at 1/6 (since q is greater than, but not equal to, 1/6), and shade the region to the right of the circle.

Here's a rough sketch of the graph:
-4 -3 -2 -1 0 1 2 3 4
|------------•
q > 1/6