Question

Question 8 of 25
A new auditorium is being built for a college. The balcony has 400 seats. The
floor has 50 rows with x seats in each row. The number of people in the
auditorium must be under 1300 to meet safety regulations.
What is the solution of this inequality, and what is its, meaning?
O A. 50x< 1300; The new auditorium must have fewer than 26 seats in
each row on the floor to meet fire safety regulations.
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Answer 1

Inequalities help us to compare two unequal expressions. The number of seats in each row on the floor must be less than 18.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the balcony has 400 seats, and the floor has 50 rows with each row having x number of seats. Therefore, the number of seats on the floor will be,

Number of seats on floor = 50 × x = 50x

Since the total number of seats in the auditorium should be less than 1300, therefore, the inequality can be written as,

Number of seats in balcony + Number of seats on floor < 1300

400 + 50x < 1300

50x < 1300-400

50x < 900

x < 18

Hence, the number of seats in each row on the floor must be less than 18.

Learn more about Inequality:

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