So we are given an increase of 7% to 13%, so we multiply the capital with 1.07 and 1.13. So the range is:
minimum = $2,300 * 1.07 = $2,461
maximum = $2,300 * 1.13 = $2,599
The set notation is:
interest, X = {7%, 13%}
money, Y = {$2461, $2599}
The interval notation is:
[$2461, $2599]