# i need some help figuring out this question

2 3/5c - 1/2 > 3/10

## To solve the inequality 2 3/5c - 1/2 > 3/10, we can follow these steps:

Step 1: Simplify both sides of the inequality if possible.
- Convert the mixed numbers to improper fractions.
- Distribute the coefficient 2 to both terms on the left side.

The inequality becomes:
13/5c - 1/2 > 3/10

Step 2: Get rid of any fractions by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators.
- The LCM of 5, 2, and 10 is 10.
- Multiply both sides of the inequality by 10.

The inequality becomes:
10 * (13/5c - 1/2) > 10 * (3/10)
(10 * 13/5)c - (10 * 1/2) > 3

Simplify:
26c/5 - 5 > 3

Step 3: Solve for c.
- Add 5 to both sides of the inequality.

The inequality becomes:
26c/5 - 5 + 5 > 3 + 5
26c/5 > 8

Step 4: Isolate c by multiplying both sides of the inequality by the reciprocal of the coefficient of c (5/26).
- Multiplying by the reciprocal cancels out the coefficient.

The inequality becomes:
(26c/5) * (5/26) > 8 * (5/26)
c > 40/26

Step 5: Simplify the result if possible.
- Reduce the fraction 40/26.

The final solution is:
c > 20/13