The solution to the inequality 3a+1 >
is a>2. Option c is the correct choice.
The given equation is: 3a+1 >
First, we need to multiply both sides by the denominator on the right, which is −4.
We also need to reverse the inequality sign, since we are multiplying by a negative number. This gives us:
−4(3a+1)<−7a−14
Simplifying the left side of the equation, we get: −12a−4<−7a−14. Subtracting −7a from both sides, we get: −5a−4<−14.
Adding 4 to both sides, we get: −5a<−10.
Dividing both sides by −5, we get the final answer: a>2.
Option c is the correct choice.