<p>The solution set of which of the following equations is
the set of real numbers that are 5 units from −3 ?
F. x + 3 = 5
G. x − 3 = 5
H. x + 5= 3
J. x − 5 = 3
K. x + 5 = −3</p>
<p>The answer is F, but why?</p>
<p>because it is
-3 + 5= x
then isolate 5
5=x + 3</p>
<p>5 units from -3. So -3 + 5. But not -3 - 5. If that were the case, the questions would’ve said “-5 units from -3” or “+/- 5 units from -3.” So 5 units from -3 is 5 + -3, which is equal to 2, and only equal to 2, so ‘2’ is the only number in the set of real numbers that are 5 units from -3. </p>
<p>The solution set of ‘x + 3 = 5’ is 2. It’s still a ‘set,’ even if there’s only one number. </p>
<p>-3 + 5 = 2 and the solution to ‘x + 3 = 5’ is 2. 2 = 2. </p>
<p>I don’t know if this makes sense to you. I might’ve went overboard with explaining it, but I thought that the terminology and language used in the question is what’s confusing you. </p>
<p>I actually didn’t get it right away either. Kind of a tricky question imo. </p>