Given A = {x 1 x < 1}, B = {x I x >_ 5), and C = {x I x = 5), match the following items. 1. AUB
2.AUC
3.BUC
4.ANB
5.BNC

{x l x =5}
{x l x >_ 5}
{x l x < 1 or x >_ 5}
Ø
{x l x < 1 or x = 5}

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oof tough question

step-by-step explanation:

sorry i can't ya : c gl tho

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.