Represent the following proposition in symbolic logic: No hikers want to get lost in the woods. E: square llllllly F: Select an answer square Proposition: square

To represent the proposition "No hikers want to get lost in the woods" in symbolic logic, we need to identify the relevant components and their meanings.<br /><br />Let's define the propositions as follows:<br />- \( H(x) \): \( x \) is a hiker.<br />- \( W(x) \): \( x \) wants to get lost in the woods.<br /><br />The proposition "No hikers want to get lost in the woods" can be interpreted as "For all hikers, it is not the case that they want to get lost in the woods." In symbolic logic, this can be written as:<br /><br />\[ \forall x (H(x) \rightarrow \neg W(x)) \]<br /><br />Here, \( \forall x \) denotes "for all \( x \)", \( H(x) \) denotes " \( x \) is a hiker", \( \rightarrow \) denotes "implies", and \( \neg \) denotes "not".<br /><br />So, the proposition "No hikers want to get lost in the woods" in symbolic logic is:<br /><br />\[ \forall x (H(x) \rightarrow \neg W(x)) \]<br /><br />This means that for every \( x \), if \( x \) is a hiker, then \( x \) does not want to get lost in the woods.