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To solve the inequality x/13 < 4/5, we can start by multiplying both sides of the inequality by 13 to get rid of the fractions:
x < (4/5) * 13
Simplifying the right side:
x < 52/5
Now, to find the answer in mixed numeral form, we divide 52 by 5:
(52 รท 5) = 10 with a remainder of 2
So, the answer is:
x < 10 2/5
Therefore, the correct option is b. x < 10 2/5.