one fourth of a number decreased by three is at least two
x/4 - 3 >= 2.
X/4-3>2
One fourth, decrease 3, at least (>)2
Let's break down the sentence and solve the problem step by step:
1. "One fourth of a number": Let's assume the number is represented by 'x'. So, one fourth of the number can be written as (1/4)*x, or x/4.
2. "Decreased by three": We need to subtract 3 from one fourth of the number. Therefore, the expression becomes (x/4) - 3.
3. "Is at least two": To solve the inequality, we set up the inequality expression: (x/4) - 3 ≥ 2.
Now, we can proceed to solve the inequality step by step:
Step 1: Add 3 to both sides of the inequality to isolate the fraction:
(x/4) - 3 + 3 ≥ 2 + 3
(x/4) ≥ 5
Step 2: Multiply both sides of the inequality by 4 to eliminate the fraction:
4 * (x/4) ≥ 4 * 5
x ≥ 20
So, the number x is equal to or greater than 20.
To solve this problem, let's break it down into steps:
Step 1: Let's assume the number is represented by 'x'.
Step 2: One-fourth of the number can be expressed as (1/4) * x.
Step 3: According to the problem, one-fourth of the number decreased by three is at least two. Mathematically, this can be represented as (1/4) * x - 3 >= 2.
Step 4: Now, solve the inequality to find the range of values for 'x':
(1/4) * x - 3 >= 2
(1/4) * x >= 2 + 3
(1/4) * x >= 5
x >= 5 * 4
x >= 20
Step 5: Therefore, the number 'x' must be greater than or equal to 20 in order for one-fourth of the number decreased by three to be at least two.