Solve the following linear in equations in R.

Solve :12x < 50,then

(i) $x ϵ R$ (ii) $x ϵ Z$ (iii) $x ϵ N$

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Solution

Now,12x < 50

$\Rightarrow x < \frac{15}{12} = \frac{25}{6} (i) S i n c e x ϵ R, x ϵ (- \infty, \frac{25}{6}) (i i) S i n c e x ϵ Z, x ϵ {. . ., - 3, - 2, - 1, 0, 1, 2, 3, 4} (i i i) S i n c e x ϵ N, x ϵ {1, 2, 3, 4}$

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