What is the smallest integer of c that satisfies the inequality of 3c-7 > 5c+4

Many thanks.

2 answers

3c-7 > 5c+4
3c - 5c > 4+7
-2c > 11
c < -11/2 or c < -5.5

so the smallest integer that is a solution is c = -6

check:
if c = -6,
-18 - 7 > -30+4
-25 > -36 , true!
if c = -5
-15-7> -25+4
-22 > -21 , false
This is what I got I was just unsure if it was right, thank you.