9514 1404 393
Answer:
a) 10(3x+2) ≤ 140; x ≤ 4
b) no
Step-by-step explanation:
a) The area is the product of length and width. We want that product to be no greater than 140:
10(3x +2) ≤ 140 . . . . your inequality
We can solve this by dividing by 10 first.
3x +2 ≤ 14
3x ≤ 12 . . . . . . subtract 2
x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality
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b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.
