five times an unknown number decreased by the same unknown number is less than the opposite of the sum of the unknown number and five
literal translation from English to "math" :
5x - x < -(x+5)
are you solving this ?
To solve this problem, we can translate the given information into an equation. Let's assume the unknown number is represented by the variable "x".
The first part of the problem states: "five times an unknown number decreased by the same unknown number". This can be represented as 5x - x.
The second part of the problem states: "is less than the opposite of the sum of the unknown number and five". The opposite of the sum of the unknown number and five can be represented as -(x + 5).
Combining these two parts, we have the equation:
5x - x < -(x + 5)
Now, we can solve this equation step by step:
5x - x < -(x + 5)
4x < -x - 5
To isolate the variable x, we can add x to both sides:
4x + x < -5
Combining like terms:
5x < -5
Next, we divide both sides by 5 to solve for x:
(5x)/5 < (-5)/5
x < -1
Therefore, the unknown number (represented by x) is less than -1.