Which of these produces a finite set of solutions for x? * x2/2 35

Question

Which of these produces a finite set of solutions for x?

* x2/2 < 35

* x2/2 = 35

* x2/2 ≤ 35

* x2/2 > 35

anonymous · Answer

Just looking at the symbols in the equations, which one seems different than the others?

anonymous · Answer

the one with the = sign

anonymous · Answer

that would be the right answer :)

anonymous · Answer

how tho? just because it has a different sign than the others?

anonymous · Answer

well no...i should explain my bad.

anonymous · Answer

or few can.

anonymous · Answer

All yours ;) I'm sure you'll do a far superior job.

anonymous · Answer

joemath i have a doubt here

anonymous · Answer

i was just exploiting multiple choice questions. its a test taking strat.  As for why the one with the = is the answer, its because when we solve for x we obtain:$$\frac{x^2}{2}= 35\Longrightarrow x^2 = 70 \Longrightarrow x = \pm \sqrt{70}$$ which gives us only 2 answers, a finite number.

anonymous · Answer

Hmmm...i think I can see some issues coming up depending if we are talking about real numbers, or natural numbers.  If its real numbers, then im correct.  If its natural numbers, then there are more correct answers.  Is it possible to have more than one correct answer?

anonymous · Answer

No. I am only allowed to choose one answer on this one. =/

anonymous · Answer

yeah i am asking about the same thing joe

anonymous · Answer

ah, since there is only one right answer, i believe what i put is correct.  Thanks for catching that Atch, its a poorly worded problem.

anonymous · Answer

hmmm yeah