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Write the Component Statement of the Compound Statement and Check Whether the Compound Statement is True Or False: X = 2 and X = 3 Are the Roots Or the Equation 3x2 − X − 10 = 0. - Mathematics

True or False

Write the component statement of the compound statement and check whether the compound statement is true or false:

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.

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Solution

The component statements of the given compound statement are: 

1) \[x = 2\]  is the root or the equation \[3 x^2 - x - 10 = 0\]

2)  \[x = 3\]  is the root or the equation  \[3 x^2 - x - 10 = 0\]

The connective used is "and". So, both component statements must be true for the compound statement to be true. The statement "  \[x = 3\]  is the root or the equation  \[3 x^2 - x - 10 = 0\] "  is false. Therefore, the compound statement is false.

 
 
 

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 31 Mathematical reasoning
Exercise 31.3 | Q 3.4 | Page 14
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