Write the inverse of the given conditional statement.Conditional Statement: "If a shape has four sides, then theshape is a rectangle."Inverse Statement: Ifthen

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asked Oct 1, 2023 170k views

1 Answer

Rotem Harel · Answer 1 · 2023-10-07T10:45:42+0000

Given: A conditional statement, "If a shape has four sides, then the

shape is a rectangle."

Required: To write the inverse of the statement.

Explanation: The given statement has two following statements:

$\begin{gathered} p\rightarrow\text{ A shape has four sides} \\ q\rightarrow\text{ The shape is rectangle} \end{gathered}$

The inverse of the statement will be

$\text{ If }∼q\text{ then \thicksim}p$

Hence the inverse statement is

Final Answer: The inverse statement is- "If the shape is not a rectangle, then the shape doesn't has four sides."