Final answer:
To make the inequality x/8 < 7/8 true, x could be any number less than 7 while still being a non-negative integer.
The correct answer is b) Start Fraction x Over 8 EndFraction less-than
Step-by-step explanation:
The student is asking for a number that could replace x in the inequality x/8 < 7/8. To find a number that would make this statement true, any number less than 7 would work when placed in the numerator over 8 because x/8 would then be less than 7/8.
For example, if we choose 6, then 6/8 (which simplifies to 3/4) is less than 7/8, and therefore x could be 6. In general terms, any value for x such that 0 ≤ x < 7 would make the inequality x/8 < 7/8 true.
The correct answer is b) Start Fraction x Over 8 EndFraction less-than