Solve the following inequality for cc. Write your answer in simplest form.

minus, 7, c, minus, left bracket, 2, c, plus, 2, right bracket, is greater than, minus, 4, c, minus, 2, plus, 6, c
−7c−(2c+2)>
−4c−2+6c

1 answer

-7c - (2c + 2) > -4c - 2 + 6c

Distribute the negative sign: -7c - 2c - 2 > -4c - 2 + 6c

Combine like terms on both sides: -9c - 2 > 2c - 2

Add 9c to both sides: -2 > 2c - 2 + 9c

Combine like terms: -2 > 11c - 2

Add 2 to both sides: 0 > 11c

Divide by 11: 0/11 > c

Simplify: 0 > c

The solution is: c < 0