The inequality 10x + 20y > 500 models all of the combinations of scores of 10 and 20 points that will give a total greater than 500 points in a game. What is not true about the values for x and y?
The inequality 2003-09-04-00-00_files/i0280000.jpg models all of the combinations of scores of 20 and 30 points that will give a total greater than 400 points in a game. What is not true about the values for x and y?
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To determine what is not true about the values for x and y in the inequality 10x + 20y > 500, we need to understand what this inequality represents.
The inequality 10x + 20y > 500 models all the combinations of scores of 10 and 20 points that will give a total greater than 500 points in a game. Here, x represents the number of times a team scores 10 points, and y represents the number of times a team scores 20 points.
To find what is not true about the values for x and y, we can consider the factors that affect the inequality:
1. The values for x and y can be positive integers or 0, but they cannot be negative. Since scoring cannot be negative, the values for x and y must be non-negative.
2. The inequality states that 10x + 20y must be greater than 500. Therefore, the sum of the scores must exceed 500 points. This means that the values for x and y cannot be 0 simultaneously.
3. The values for x and y can take any integer value as long as the condition 10x + 20y > 500 is satisfied. There are multiple possible combinations of x and y that satisfy this inequality.
Based on the above analysis, the only statement that is not true about the values for x and y is that they cannot be negative. The values for x and y can indeed be negative as long as the inequality is satisfied.