Let $A = \{ x \in R:|x + 1| < 2\}$ and $B = \{ x \in R:|x - 1| \ge 2\}$. Then which one of the following statements is NOT true?
Solution
<p>A = ($-$3, 1) and B = ($-$ $\infty$, $-$1] $\cup$ [3, $\infty$)</p>
<p>So, A $-$ B = ($-$1, 1)</p>
<p>B $-$ A = ($-$ $\infty$, $-$3] $\cup$ [3, $\infty$) = R $-$ ($-$3, 3)</p>
<p>A $\cap$ B = ($-$3, $-$1]</p>
<p>and A $\cup$ B = ($-$ $\infty$, 1) $\cup$ [3, $\infty$) = R $-$ [1, 3)</p>
About this question
Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Topic: Complex Numbers and Argand Plane
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