Question

all karate experts know kickboxing.

which of the following statements, if true, would provide the strongest support for the accuracy of the text above?

a you need to learn kickboxing before mastering another martial art.
b kickboxing is more popular than karate.
c knowing karate makes it easier to learn other martial arts, such as kickboxing.
d it is easier to master karate than kickboxing.
e all kickboxing experts are also karate experts.

Explanation:

Analyze the target statement

The target statement we want to support is: "All karate experts know kickboxing." This is a conditional statement: if someone is a karate expert, then they know kickboxing (\(\text{Karate Expert}
ightarrow \text{Knows Kickboxing}\)). We need to find an option that, if true, provides the strongest logical support for this relationship.

Evaluate Option A

Using Logical Deduction, let's analyze Option A: "You need to learn kickboxing before mastering another martial art."

• "Need to learn kickboxing before mastering another martial art" means kickboxing is a necessary condition for mastering any other martial art (\(\text{Master other martial art}

ightarrow \text{Know kickboxing}\)).

• Since karate is another martial art, being a karate expert (mastering karate) requires knowing kickboxing.
• This directly guarantees the truth of the target statement: "All karate experts know kickboxing." Thus, Option A provides the strongest possible support.

Evaluate Option B

Using Logical Inference, let's analyze Option B: "Kickboxing is more popular than karate."

• Popularity of a sport does not establish a logical connection between being an expert in one and knowing the other. This does not support the statement.

Evaluate Option C

Using Logical Inference, let's analyze Option C: "Knowing karate makes it easier to learn other martial arts, such as kickboxing."

• Making it "easier to learn" does not guarantee that all karate experts actually do learn or know kickboxing. It only speaks to ease of learning, which is too weak to support the absolute claim "All karate experts know kickboxing."

Evaluate Options D and E

Using Logical Deduction, let's analyze Options D and E:

• Option D: "It is easier to master karate than kickboxing." Relative difficulty of mastering the two arts does not establish whether experts of one know the other.
• Option E: "All kickboxing experts are also karate experts." This is the converse relationship (\(\text{Kickboxing Expert}

ightarrow \text{Karate Expert}\)), which does not prove or support that all karate experts know kickboxing.

Answer:

• (A) You need to learn kickboxing before mastering another martial art. (Correct answer)
• (B) Kickboxing is more popular than karate.
• (C) Knowing karate makes it easier to learn other martial arts, such as kickboxing.
• (D) It is easier to master karate than kickboxing.
• (E) All kickboxing experts are also karate experts.