Answer:
The condition which is used to find the value of number small table is 5 t + 15 [tex]>[/tex] 140 .
Step-by-step explanation:
Given as :
The room is filled with maximum of 140 people
The number of large table in room = T = 1
The number of small table in room = t
The number of people seat on larger table = 15
The number of people seat on small table = 5 people each
Now, According to question
For maximum number of peoples enter inside room
i.e number of people seat on small table × number of small table in room + number of people seat on larger table × number of large table in room [tex]>[/tex] maximum people inside room
Or, 5 × t + 15 × T [tex]>[/tex] 140
Or, 5 t + 15 × 1 [tex]>[/tex] 140
Or, 5 t + 15 [tex]>[/tex] 140
Or, 5 t [tex]>[/tex] 140 - 35
Or, 5 t [tex]>[/tex] 125
Or, t [tex]>[/tex] [tex]\dfrac{125}{5}[/tex]
Or, t [tex]>[/tex] 25
Hence, The condition which is used to find the value of number small table is 5 t + 15 [tex]>[/tex] 140 . Answer