Write the following sets in the roaster form: E= w| w-2 w+2 =3,w - Vidyadip

Question

Write the following sets in the roaster form:
$\text{E}=\Big\{\text{w}|\frac{\text{w}-2}{\text{w}+2}=3,\text{w}\in\text{R}\Big\}$

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Answer

$\text{E}=\Big\{\text{w}|\frac{\text{w}-2}{\text{w}+2}=3,\text{w}\in\text{R}\Big\}$
$\therefore\frac{\text{w}-2}{\text{w}+2}=3$
$\Rightarrow 3\text{w}+9=\text{w}-2$
$\Rightarrow 3\text{w}-\text{w}=-2-9$
$\Rightarrow 2\text{w}=-11$
$\Rightarrow \text{w}=\frac{-11}{2}\in\text{R}$
Hence, $\text{E}=\Big\{\frac{-11}{2}\Big\}$

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