🚀 go-pugleaf

Solutions

   10 6 4    J 8 7 5    J 6 2    8 6 3 
   (a) Three clubs. Even though you have decent support for opener's suit, your first obligation is to show
that you have a terrible hand. Later, you can support hearts (even jump, under appropriate
circumstances), secure that partner knows you have very little. 

   10 6 4 3    J 8 7    9 7 5 4 3    2 
   (b) Three clubs. Your basic obligations remain the same as in (a). Even though you do not plan to pass
if partner rebids three hearts (since your junk has trick-taking potential in hearts), you should start by
limiting your hand. Any heart raise would show more overall strength. 

   10 6 4    J 8 7 5    J 6 2    K 6 3 
   (c) Three hearts. Here your scattered strength makes you too strong for a double negative. Your
natural move is to raise hearts. This shows support (it might be only three cards), at least a smattering of
high-card values (you didn't double negative), and no side singleton or void (you didn't splinter). 

   K 10 6 4    J 8 7    9 7 5 4 3    2 
   (d) Four clubs. You have too much strength for the double negative, and your hand is good for hearts.
You cannot afford to investigate other possible strains. No number of hearts is right (three denies side
shortness; four says your stuff is in hearts), so a splinter jump, showing support with shortness in the bid
suit, is the only sensible possibility. 

   10 6 4 3    2    J 8 7    K J 9 6 5 
   (e) Two notrump. Is this enough not to double negative? The high-card values are about right, and
there is a good suit. However, the misfit for hearts is a minus. People will have different opinions; most
will find it borderline. Then, two notrump should get the nod because a double negative may make it
impossible to locate a club fit. A two-notrump rebid leaves opener room to show clubs with length there.
This is more important than the half-point in valuation you might be lacking. 

   10 6 4    7 2    J 8 7    K J 9 6 5 
   (f) Two notrump. This is a better hand than (e); the contemplated strains for the partnership are hearts
and notrump. With tolerance for hearts, high-card values for notrump, and a good suit, this is scarcely a
double-negative candidate. 

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