Solve the inequality. Graph the solution set and write it in interval notation.
6/7x>4
To solve the inequality 6/7x > 4, we can begin by multiplying both sides of the inequality by 7/6 to eliminate the fraction:
(6/7x) * (7/6) > 4 * (7/6)
x > (28/6)
x > 14/3
So the solution set for this inequality is all values of x greater than 14/3.
In interval notation, this can be written as (14/3, ∞).
Graphically, the solution set would be represented by an open circle at 14/3 on the number line, with the line extending to the right indicating that x can take on any value greater than 14/3.