Suppose an individual has blood type A+. Let G be the set of blood types this person may receive blood from, and let R be the set of blood types they may donate blood to. Write out G ∩ R; interpret what this set means.
Introduction: A person’s blood type is an inherited trait governing special marker proteins appear-
ing on the surface of their red blood cells. Blood typing is important, because it governs who an
individual can give or receive blood donations from; blood with proteins markers not present in their
own blood will be rejected by an individual’s immune system.
There are two separate genes that govern blood type; the ABO gene has two dominant options, A
and B, and a recessive option called O. For example, an individual with AO or AA would present
the A protein, and an individual with AB will present both the A and B proteins on their blood;
an individual with OO has no proteins from this gene. The Rh gene has two options; the dominant
option is called positive (or + for short), while the recessive option is called negative or null (or –
for short). For example, an individual with ++ or +– would present the Rh protein on their blood,
while an individual with – – would not present the Rh protein.
Together, these genes give your blood type, which can be one of O+, O-, A+, A-, B+, B-, AB+, or
AB-.
Suppose an individual has blood type A+. Let G be the set of blood types this person
may receive blood from, and let R be the set of blood types they may donate blood to. Write out G ∩ R; interpret what this set means.
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