Four less than one third of an unknown number is no less than a quarter of the same unknown number.
Which of the following inequality fits the description above?
Let x be the unknown number.
According to the problem, "four less than one third of an unknown number" can be written as (1/3)x - 4.
And "no less than a quarter of the same unknown number" can be written as (1/4)x.
So the complete inequality is:
(1/3)x - 4 ≥ (1/4)x
To solve for x, we can start by getting rid of the fractions by multiplying both sides by 12 (the least common multiple of 3 and 4):
4x - 48 ≥ 3x
Subtracting 3x from both sides:
x - 48 ≥ 0
Adding 48 to both sides:
x ≥ 48
Therefore, the inequality that fits the description above is:
x ≥ 48