Final answer:
After distributing and simplifying the inequality 13(6x-3) > 5x, we find that x > 39/73. The correct direction of the inequality sign is for x to be greater than 39/73, not less.
Step-by-step explanation:
To solve the inequality 13(6x−3) > 5x, we need to first distribute the 13 and simplify:
13(6x) - 13(3) > 5x
78x - 39 > 5x
To isolate x, we move all x terms to one side:
78x - 5x > 39
73x > 39
Now, divide both sides by 73 to solve for x:
x > 39/73
Thus, the correct answer is d. x < 39/73, which appears to be a typo. Instead, the inequality symbol should face the other direction, indicating x > 39/73 as the solution.