Express the following statement in "if...then" form. Then write the statement's converse, inverse, contrapositiv No dirt is sufficient for no cleaning. Write the converse of the statement. Choose the correct answer below. OA. If there is cleaning, then there is no dirt. OB. If there is cleaning, then there is dirt. OC. If there is no cleaning, then there is dirt. O D. If there is no cleaning, then there is no dirt. Write the inverse of the statement. Choose the correct answer below. OA. If there is cleaning, then there is dirt. OB. If there is dirt, then there is no cleaning. OC. If there is no dirt, then there is cleaning. OD. If there is no cleaning, then there is no dirt. If i did the tkunu în ala----

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Conditional Statements Exercise**

**Instructions:** Express the following statement in "if...then" form. Then write the statement's converse, inverse, and contrapositive.

**Given Statement:**  
No dirt is sufficient for no cleaning.

---

**Tasks:**

1. **Write the Converse of the Statement. Select the correct answer below:**

   - A. If there is cleaning, then there is no dirt.
   - B. If there is cleaning, then there is dirt.
   - C. If there is no cleaning, then there is dirt.
   - D. If there is no cleaning, then there is no dirt.

2. **Write the Inverse of the Statement. Select the correct answer below:**

   - A. If there is cleaning, then there is dirt.
   - B. If there is dirt, then there is no cleaning.
   - C. If there is no dirt, then there is cleaning.
   - D. If there is no cleaning, then there is no dirt.
   - E. If there is dirt, then there is cleaning.

**Note:** Try to logically analyze each option and select the answer that correctly transforms the given statement into its converse and inverse forms.
Transcribed Image Text:**Conditional Statements Exercise** **Instructions:** Express the following statement in "if...then" form. Then write the statement's converse, inverse, and contrapositive. **Given Statement:** No dirt is sufficient for no cleaning. --- **Tasks:** 1. **Write the Converse of the Statement. Select the correct answer below:** - A. If there is cleaning, then there is no dirt. - B. If there is cleaning, then there is dirt. - C. If there is no cleaning, then there is dirt. - D. If there is no cleaning, then there is no dirt. 2. **Write the Inverse of the Statement. Select the correct answer below:** - A. If there is cleaning, then there is dirt. - B. If there is dirt, then there is no cleaning. - C. If there is no dirt, then there is cleaning. - D. If there is no cleaning, then there is no dirt. - E. If there is dirt, then there is cleaning. **Note:** Try to logically analyze each option and select the answer that correctly transforms the given statement into its converse and inverse forms.
Expert Solution
Step 1

The given statement is "No dirt is sufficient for no cleaning".

The "if...then" form of the given statement is "If there is no dirt, then there is no cleaning".

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