Final answer:
The correct inequality to represent 'h > 32' is not listed accurately among the options, but option a) 'h > -5' is the closest in form as it also states that 'h' is greater than a number. The given options may contain typographical errors.
Step-by-step explanation:
The student is asking for the correct representation of the inequality h > 32. Looking at the provided options, we need to find the one inequality that correctly portrays this condition. None of the options explicitly match the given inequality, suggesting there may be a typo, but the goal is to find which option could potentially be equivalent based on the available choices.
The available options are:
a) h > -5
b) h - 192 (assuming there is a typo and it meant to say either h > 192 or h < 192)
c) h < -192
d) h < -5
Options b, c, and d suggest that h is less than some number, whereas option a suggests h is greater than a number. Only option a (h > -5) aligns with the concept that h is greater than a certain value, just as the given inequality states that h is greater than 32. So, out of the provided options, a) h > -5 is the closest in form to the given statement, even though numerically it is not correct as there seems to be a typo in the question.