Half the sum of a number, x, and 15 is at most the sum of the opposite of twice the number and 1.25. What is the range of possible values for the number?
1 Answer
May 7, 2018
Any value smaller than
Explanation:
If you know that
Let's translate
A:
- The sum of a number
#x# and#15 \implies x+15# - Half the sum of a number
#x# and#15 \implies \frac{x+15}{2}#
B:
- The opposite of the number
# implies -x# - The opposite of twice the number
#\implies -2x# - The sum of the opposite of twice the number and
#1.25 \implies -2x+1.25#
So, we have
Multiply both sides by two:
Bring all the
Solve for