Three less than the quotient of a number and 4 is at most that number. What is the smallest value of the number?

Answer 1

3 less than the quotient of a number and 4 is at most the number

Quotient of a number and 4 means the number is the dividend and 4 is the divisor = N/4 where N is the number

N/4 -3 < N

multiply by both sides by 4

N - 12 < 4N

add 12-4N to both sides

-3N < 12

divide both sides by -3 which reverses the direction of the inequality

multiply or divide by a negative number and the inequality is reversed

N > -4

-4 is the smallest value of the number