Final answer:
To determine the linear arrangement, we explore two scenarios based on the constraint that W and X cannot speak consecutively and that X must speak third or fifth. After placing X, we ensure W doesn't violate the consecutive speaking rule, then fill in the remaining positions. This utilizes our intuition, much like how we subconsciously understand grammar rules to form coherent sentences.
Step-by-step explanation:
The student has asked to draw the linear arrangement with the constraints that 'W and X cannot speak consecutively' and 'X must speak third or fifth.' To solve this, we consider the positions in which X can be placed. Since X must speak third or fifth, we can create two scenarios:
- In the first scenario, X is placed in the third position. This means W cannot be placed in the second or fourth position.
- In the second scenario, X is placed in the fifth position. This means W cannot be placed in the fourth position.
Once X and W are placed according to these restrictions, we can fill in the remaining positions with the other speakers, ensuring that they do not violate the given constraints.
It's similar to the way we intuitively understand grammar rules, as we are able to form a coherent sentence without consciously thinking about each possible combination. Likewise, we can apply intuition to quickly determine the arrangement that satisfies the given conditions, bypassing nonsensical combinations.