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Write the negation of the following. x + 8 > 11 or y – 3 = 6 - Mathematics and Statistics

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प्रश्न

Write the negation of the following.

x + 8 > 11 or y – 3 = 6

योग

उत्तर

Let p: x + 8 > 11,
      q: y − 3 = 6
Then the symbolic form of the given statement is p∨q.
Since ∼ (p v q) ≡ ∼ p ∧ ∼ q, the negation of the given statement is:
x + 8 `≯ ` 11 and y − 3 `≠` 6.
OR
x + 8 `≤` 11 and y − 3 `≠` 6.

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Negations of Compound Statements
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Exercise 1.3 [पृष्ठ १८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.3 | Q 3.1 | पृष्ठ १८

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