Let W be the event that you will use the website tonight, Q be the event that your math grade will improve, and E be the event that you will use the website every night. Express the following event in symbols.
"Either you will use the website every night, or your math grade will not improve."

A) $E ^ { \prime } \cup Q ^ { \prime }$
B) $E \cap Q ^ { \prime }$
C) $E \cup Q$
D) $E \cup Q ^ { \prime }$
E) $E ^ { \prime } \cup Q$

Question

Let W be the event that you will use the website tonight, Q be the event that your math grade will improve, and  E be the event that you will use the website every night. Express the following event in symbols.  
"Either you will use the website every night, or your math grade will not improve."
 
A) $E ^ { \prime } \cup Q ^ { \prime }$
B)   $E \cap Q ^ { \prime }$
C)   $E \cup Q$
D)   $E \cup Q ^ { \prime }$
E)   $E ^ { \prime } \cup Q$

Quizplus · Accepted Answer

The correct expression is $E \cup Q ^ { \prime }$, which translates to "Either you will use the website every night (E), or your math grade will not improve ($Q ^ { \prime }$)."

Let W Be the Event That You Will Use the Website