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Mathematical Reasoning — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsMathematical Reasoning1 Mark
Question
Write the component statements of the following compound statements and check whether the compound statement is true or false:
$x = 2$ and $x = 3$ are the roots or the equation $3x^2 − x − 10 = 0.$
✓

Answer

The component statements of the given compound statement are:
  1. $x = 2$ is the root or the equation $3x^2 - x - 10 = 0.$
  2. $x = 3$ is the root or the equation $3x^2 - x - 10 = 0.$
The connective used is "and". So, both component statements must be true for the compound statement to be true. The statement $"x = 3x = 3$ is the root or the equation $3x^2 - x - 10 = 0"$ is false. Therefore, the compound statement is false.

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