A A passage on pages 346-347 in AShcroft and Mermin

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There's a passage on pages 346-347 which I don't understand.

They write:
When ##\epsilon_1## is exactly ##\epsilon_F##, conditions (17.61) and (17.62) can only be satisfied if ##\epsilon_2##, ##\epsilon_3## and ##\epsilon_4## are also all exactly ##\epsilon_F##.
where the conditions are:
$$(17.61)\epsilon_2 <\epsilon_F, \epsilon_3>\epsilon_F, \epsilon_4>\epsilon_F.$$
$$(17.62)\epsilon_1+\epsilon_2=\epsilon_3+\epsilon_4$$

Well, obviously when all of the ##\epsilon_i##'s are exactly ##\epsilon_F## then condition (17.61) isn't satisfied.

Perhaps they wrote something and meant something else... what do you think?
 
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Do you think the signs in 17.61 should be ≤ and ≥? Then it would work.
 
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mjc123 said:
Do you think the signs in 17.61 should be ≤ and ≥? Then it would work.
Obviously.
 
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