how do you translate c is less than 8 into an inequality

Answer 1

c < 8 means c is less than 8

c is in the interval (-infinity, 8) use parentheses to indicate it's an open interval and c cannot = 8

IF you had wanted c is less than or equal to 8 then that would be c < 8

and you'd use a right bracket instead of a parenthesis in the interval (-infinity, 8]