X is a whole number.if three quarters of x is subtracted from one, the result is always greater than zero find the four highest values of x
I don't understand it please explain
1 - 3/4 x > 0
1 > 3/4 x
4/3 > x
so, which whole numbers are less than 4/3 ?
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1-3/4x>0
4/3>x
The highest value of x= 1,0,-1,-2
To find the four highest values of X, we need to determine the range of values that satisfy the given condition: "Three quarters of X subtracted from one is always greater than zero."
Let's break down the problem and solve it step by step.
Step 1: Express the given condition as an inequality.
The condition states that "one minus three-quarters of X" is greater than zero. We can represent this condition mathematically as:
1 - (3/4)X > 0
Step 2: Solve the inequality for X.
To isolate X, we will rearrange the inequality:
1 > (3/4)X
Multiplying both sides of the inequality by 4/3 (the reciprocal of 3/4), we get:
(4/3) > X
Step 3: Simplify the inequality.
We can rewrite the fraction 4/3 as the decimal 1.33. So, the inequality becomes:
1.33 > X
Step 4: Determine the range of X.
The range of X is any whole number value that is less than 1.33. Since X is a whole number, the highest values of X satisfying this condition are 1 and 2.
Therefore, the four highest values of X are 2, 1.
Note: There are multiple values of X that satisfy this condition. However, since you asked for only the highest four values, the list ends with 2 and 1.