It has often been said, to avoid relegation from football’s Premier League, teams should aim to score at least 40 points in a season. Each team plays 38 games, a win is rewarded with 3 points and a draw with 1 point. No points are awarded for a loss.
Using and as the number of wins and draws respectively, write down an inequality describing the number of points a team should aim for to avoid relegation.
Another condition on and is .
Briefly explain why this second condition arises.
Explain why and must also be conditions.
A team has won 3 games and drawn 5 after playing 19 games.
Write down an updated inequality for the number of points required during the remainder of the season in order to avoid relegation.
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