Absolutely Jacob should graph -6 2/5 to the left of -6.
Here is the step-by-step explanation:
1. First we need to convert -6 2/5 to a decimal to compare it more easily with -6. -6 2/5 refers to a mixed number that consists of an integer part (-6) and a fractional part (2/5).
2. The decimal form of 2/5 is 0.4. We are subtracting this from -6 because this fraction is part of the negative mixed number. The result is -6.4.
3. Now we can simply compare -6.4 with -6. On a number line, numbers further to the left are smaller, and numbers further to the right are larger.
4. Since -6.4 is less than -6, it is further to the left on the number line. Therefore, Jacob should graph -6 2/5 to the left of -6.