- #1
chwala
Gold Member
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- Homework Statement
- See attached
- Relevant Equations
- Inequalities
Find solution here;
Ok i just want clarity for part (a),
My approach is as follows, since we want positive integer values that satisfy the problem then,
##\dfrac {n^2-1}{2}≥1## I had earlier thought of ##\dfrac {n^2-1}{2}≥0## but realized that ##0## is an integer yes but its not a positive integer.
Therefore,
##\dfrac {n^2-1}{2}≥1, n^2-1≥2, n^2≥3 ⇒n≥\sqrt 3##
For,
##\dfrac {n^2+1}{2}≥, n^2≥1⇒n≥1##. The inequality satisfying the two is
##n≥\sqrt 3##
...Any insight on this is appreciated.
Part (b) is easy...no problem there...