Choose the correct solution and graph for the inequality.
q+1/3>1/2

(1 point)
Responses



Image with alt text: q greater-than one sixth Image with alt text: A number line has an open circle at 1 over 6 and is filled in to the right.



Image with alt text: q greater-than 1 Image with alt text: A number line has an open circle at 1 and is filled in to the right.



Image with alt text: q greater-than five sixths Image with alt text: A number line has an open circle at 5 over 6 and is filled in to the right.



The correct solution and graph for the inequality q + 1/3 > 1/2 is:
Image with alt text: q greater-than five sixths
Image with alt text: A number line has an open circle at 5 over 6 and is filled in to the right.
The correct solution and graph for the inequality q + 1/3 > 1/2 is:
Image with alt text: q greater-than five sixths
Image with alt text: A number line has an open circle at 5 over 6 and is filled in to the right.
To solve the inequality q + 1/3 > 1/2, we need to isolate the variable q.
First, we subtract 1/3 from both sides of the inequality:
q + 1/3 - 1/3 > 1/2 - 1/3
q > 1/2 - 1/3
Next, we find the common denominator of 2 and 3, which is 6:
q > 3/6 - 2/6
q > 1/6
Therefore, the correct solution is q > 1/6.
To graph this inequality on a number line, we start by plotting an open circle at 1/6 (since q is greater than, not equal to, 1/6). Then we shade the part of the number line to the right of 1/6 since q is greater than 1/6.
So, the correct graph for the inequality q + 1/3 > 1/2 is:
Image with alt text: q greater-than one sixth
Image with alt text: A number line has an open circle at 1 over 6 and is filled in to the right.