x < 17
This means the new auditorium must have less than 17 seats 1n each row on the floor to meet the safety regulations.
Explanation:Number seats in the balcony = 60
Number of seats on the floor = number of rows × number of seats on each row
Number of seats on the floor = 15× x = 15x
The number of people in the auditorium must be under 315:
This means the number of people can be less than 315 but not above it.
We represent less than 315 as < 315
The inequality equation:
Number seats in the balcony + Number of seats on the floor < 315
60 + 15x < 315
Rewritting the inequality equation:
15x + 60 < 315
Solving the inequality:
15x + 60 < 315
collect like terms by subtracting 60 from both sides:
15x + 60 - 60 < 315 -60
15x < 255
Divide both sides by 15:
15x/15 < 255/15
x < 17
This means the new auditorium must have less than 17 seats in each row on the floor to meet the safety regulations.