Question
Solve the following linear inequations in R:
Solve: 12x < 50, when:
  1. $\text{x}\in\text{R}$
  2. $\text{x}\in\text{Z}$
  3. $\text{x}\in\text{N}$

Answer

Now, 12x < 50
$\Rightarrow\text{x}<\frac{50}{12}=\frac{25}{6}$
  1. Since $\text{x}\in\text{R},\text{x}\in\Big(-\infty,\frac{25}{6}\Big)$
  2. Since $\text{x}\in\text{z},\text{x}\in\{...,-3,-2,-1,0,1,2,3,4\}$
  3. Since $\text{x}\in\text{N},\text{x}\in\{1,2,3,4\}$

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