If $\mathrm{R}=\{(a, \mathrm{~b}) / \mathrm{b}=a-1, a \in \mathrm{Z}, 5 < a < 9\}$, then the range of…

If $\mathrm{R}=\{(a, \mathrm{~b}) / \mathrm{b}=a-1, a \in \mathrm{Z}, 5 < a < 9\}$, then the range of $\mathrm{R}$ is
  1. $\{7,8,9\}$
  2. $\{5,6,7\}$
  3. $\{6,7,8\}$
  4. $\{5,6,7,8,9\}$

Solution

Given $\mathbf{R}=\{(\mathbf{a}, \mathbf{b}), \mathbf{b}=\mathbf{a}-1, \mathbf{a} \in \mathbf{z}, 5 < \mathbf{a} < 9\}$ $\therefore \quad a=6,7,8$ $a=6, b=6-1=5$ $a=7, b=7-1=6$ $a=8, b=8-1=7$ $R=\{(6,5),(7,6),(8,7)\}$ Range of $R=\{5,6,7\}$

Asked in: MHT CET 2020 (19 Oct Shift 2)

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