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Which of the following statements are true? SELECT TWO THAT APPLY.

1. The point (0, 1) is a solution to the inequality

2. The point (1, 0) is a solution to the inequality

3. The graph shows the inequality y ≤ 3x - 3

4. The graph shows the inequality y ≥ 3x - 3

Which of the following statements are true? SELECT TWO THAT APPLY. 1. The point (0, 1) is-example-1
User Wololo
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1 Answer

3 votes

Based on the information available, the most likely true statements are:

2. The point (1, 0) is a solution to the inequality.

3. The graph shows the inequality y ≤ 3x - 3 (if the shaded area is below the line).

1. The point (0, 1) is a solution to the inequality:

This statement is likely false. If the graph shows the inequality y ≤ 3x - 3, then the shaded area would be below the line y = 3x - 3. However, the point (0, 1) lies above this line. Therefore, it wouldn't be a solution to the inequality.

2. The point (1, 0) is a solution to the inequality:

This statement is likely true. If the graph shows the inequality y ≤ 3x - 3, then the shaded area would be below the line y = 3x - 3. The point (1, 0) lies on this line, so it would be a solution to the inequality.

3. The graph shows the inequality y ≤ 3x - 3:

This statement is possible, but I can't confirm it without seeing the graph. The slope of the line in the image appears to be 3, and the y-intercept is negative, which is consistent with the equation y = 3x - 3. However, the direction of the shading is crucial in determining the actual inequality. If the shaded area is below the line, then this statement is true. Otherwise, it's false.

4. The graph shows the inequality y ≥ 3x - 3:

This statement is unlikely to be true. The shaded area in the image appears to be below the line, which suggests the inequality is y ≤ 3x - 3, not y ≥ 3x - 3.

User Tabaluga
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7.7k points