Final answer:
To match the inequality x < 7.8 with interval notation, the correct option is B: (-infinity, 7.8), as it represents all values less than 7.8, aligning with the given inequality.
Step-by-step explanation:
The student is asking for help with matching inequality and interval notation. The given inequality is x < 7.8. We need to find the appropriate interval notation that represents this inequality. In interval notation, we use parentheses to denote an endpoint that is not included (open interval) and brackets for an endpoint that is included (closed interval). Since we have x < 7.8, it means all numbers less than 7.8 but not including 7.8 itself. Therefore, the correct match using interval notation must include all numbers up to, but not including 7.8. The proper interval notation for this inequality is option B: (-∞, 7.8), which represents all numbers from negative infinity up to, but not including, 7.8. Infinity always has a parenthesis since it's not a number that can be reached. Here, the open interval indicates that 7.8 is not a part of the solution set, aligning perfectly with the inequality x < 7.8.