The inequality that describes the constraints is f + 6t ≤ 18
If Ty has 4 field goals and 3 touchdowns, he cannot remain on the team.
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≤ because Ty's score has to be at most 18 points.
The from of the inequality that describes the constraints is:
(point of a touchdown x number of touchdowns) + (point of field goals x number of field goals) ≤ maximum points
(1 x f) + (6 x t) ≤ 18
f + 6t ≤ 18
Ty's total score when he has 3 touch downs and 4 field goals
(1 x 4) + (6 x 3) ≤ 18
4 + 18 ≤ 18
22 ≤ 18
Ty cannot remain on the team because his score exceeds 18. (i.e. 22 > 18).
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