Answer :
An inequality that represents the numbers of large, ( $x$ ) and small ( $y$ ), boxes a 200-pound delivery person can take on the elevator is, 75a+40b+200 ≤ 2000
What are inequalities?
Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given information,
Two large boxes and three small boxes weigh 270 pounds
One large box and four small boxes weigh 235 pounds
weight of delivery person, 200
Suppose,
Weight of one large box is, x
Weight of one small box is, y
We can write as,
2x+3y = 270 _________(i)
x+4y = 235 _________(ii)
After solving (i) & (ii) by elimination method
we will get values of x&y
x = 75
y = 40
The weight limit on an elevator is 2000 pounds
So, Sum of weight of all the boxes and weight of delivery person should be less than 2000,
by taking number of large boxes as 'a' and number of small boxes as 'b'
we can write, 75a+40b+200≤2000
Hence, Inequality for given problem is 75a+40b+200≤2000
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