# 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