Dale would need to buy more than 200 cards for Company B to be cheaper.
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Company A charges a flat fee of $0.15 per card.
Company B charges $0.10 per card plus an additional $10.00 for delivery
Let x = number of cards
Company A charges = $0.15x
Company B charges = $10.00 + $0.10x
For company B to be the cheaper option ( B < A )
$10.00 + $0.10x < $0.15x
$10.00 < $0.05x
subtracting positive from both sides to retains the sense of the inequality and x is positive
200 < x
x > 200
So, Dale would need to buy more than 200 cards for Company B to be cheaper.
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