Statements:All planets are stars.All meteors are planets.No orbit is a star.Conclusions:I. All meteors are stars.II. No planet is an orbit.
Question
Statements:All planets are stars.All meteors are planets.No orbit is a star.Conclusions:I. All meteors are stars.II. No planet is an orbit.
Solution 1
Let's analyze the statements and conclusions step by step:
Statements:
- All planets are stars.
- All meteors are planets.
- No orbit is a star.
Conclusions: I. All meteors are stars. II. No planet is an orbit.
Step 1: Analyze the statements
- The first statement says that all planets are stars. This means that if something is a planet, it is also a star.
- The second statement says that all meteors are planets. This means that if something is a meteor, it is also a planet.
- The third statement says that no orbit is a star. This means that if something is an orbit, it cannot be a star.
Step 2: Analyze the conclusions
- The first conclusion says that all meteors are stars. Based on the statements, we know that all meteors are planets (statement 2), and all planets are stars (statement 1). Therefore, it is logical to conclude that all meteors are stars. So, conclusion I is valid.
- The second conclusion says that no planet is an orbit. Based on the statements, we know that no orbit is a star (statement 3), and all planets are stars (statement 1). Therefore, it is logical to conclude that no planet is an orbit. So, conclusion II is also valid.
Therefore, both conclusions I and II follow from the given statements.
Solution 2
Let's analyze the statements and conclusions step by step:
Statements:
- All planets are stars.
- All meteors are planets.
- No orbit is a star.
Conclusions: I. All meteors are stars. II. No planet is an orbit.
Step 1: Analyze the statements
- The first statement says that all planets are stars. This means that if something is a planet, it is also a star.
- The second statement says that all meteors are planets. This means that if something is a meteor, it is also a planet.
- The third statement says that no orbit is a star. This means that if something is an orbit, it cannot be a star.
Step 2: Analyze the conclusions
- The first conclusion says that all meteors are stars. Based on the statements, we know that all meteors are planets (statement 2), and all planets are stars (statement 1). Therefore, it is logical to conclude that all meteors are stars. So, conclusion I is valid.
- The second conclusion says that no planet is an orbit. Based on the statements, we know that no orbit is a star (statement 3), and all planets are stars (statement 1). Therefore, it is logical to conclude that no planet is an orbit. So, conclusion II is also valid.
Therefore, both conclusions I and II follow from the given statements.
Similar Questions
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