Solve the inequality. Graph the solution set and write it in interval notation.
6/7x>3
To solve the inequality, we can multiply both sides by 7/6 to eliminate the fraction:
(7/6)(6/7)x > (7/6)(3)
x > 21/6
Simplifying the right side gives:
x > 7/2
To graph the solution set, we can represent the inequality on a number line. We can start by marking a point on the number line at 7/2 and shading the region to the right of that point. We also make the point at 7/2 an open circle to indicate that it is not included in the solution set.
The graph of the solution set can be represented as:
-----------o-------------------
0 7/2
In interval notation, the solution set is (7/2, ∞).