In the card game of poker, five cards that have consecutive kinds is called a straight.
an ace can be considered either the lowest card of an a-2-3-4-5 straight or the highest card of a 10-
j-q-k-a straight. what is the probability that a five-card poker hand contains a straight? for this
problem, you may consider a suited straight (all cards of the same suit) as a straight although the rules
of poker exclude that as a straight.

-3.5 is the distance.

i've had this question so choose the one in the absolute value sign.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal