To represent the situation described, we want to model the total ticket sales from both adults' tickets and children's tickets, and we need that total to be at least $5,400.
The revenue from selling adults' tickets can be represented as \( 75x \) (since each adult ticket costs $75) and the revenue from selling children's tickets can be expressed as \( 19y \) (since each children's ticket costs $19).
We want the total revenue from both ticket types to be at least $5,400, so we can set up the inequality as follows:
\[ 75x + 19y \geq 5400 \]
This is the required inequality in standard form. Here, \( x \) is the number of adults' tickets sold, and \( y \) is the number of children's tickets sold.
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