Six more than the quotient of a number b and 30 is greater than 3.

Question

I need a step by step equation

Answer 1

six more than the quotient of a number b and 30 is greater than 3

b/30 + 6 > 3

multiply both sides by 30

30b/30 + 6(30) > 3(30)

b + 180 > 90

subtract 180 from both sides

b+180-180 > 90-180

b >-90

or in interval notation

b is an element of the interval (-90, infinity)

quotient of b and 30 means b is the dividend and 30 is the divisor

common mistake is to mix up dividend and divisor

which would lead to 30/b + 6 > 3

and

30+6b>3b

3b>-30

b>-10