Choose the correct solution and graph for the inequality
q+1/3>1/2
To solve the inequality q + 1/3 > 1/2, we can start by subtracting 1/3 from both sides:
q + 1/3 - 1/3 > 1/2 - 1/3
This simplifies to:
q > 1/2 - 1/3
To find a common denominator for 1/2 and 1/3, we multiply the numerator and denominator of 1/3 by 2 to get:
q > 3/6 - 2/6
This further simplifies to:
q > 1/6
To graph the solution on a number line, we would plot a open circle on 1/6 (since the inequality is "greater than") and shade to the right of the circle to show all the values of q that satisfy the inequality. The graph would look as follows:
<-----------|------------->
1/6