MHT CET · Maths · Functions
If \(\mathrm{R}=\{(a, \mathrm{~b}) / \mathrm{b}=a-1, a \in \mathrm{Z}, 5 < a < 9\}\), then the range of \(\mathrm{R}\) is
- A \(\{7,8,9\}\)
- B \(\{5,6,7\}\)
- C \(\{6,7,8\}\)
- D \(\{5,6,7,8,9\}\)
Answer & Solution
Correct Answer
(B) \(\{5,6,7\}\)
Step-by-step Solution
Detailed explanation
(A)
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 \(R=\{5,6,7\}\)
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 \(R=\{5,6,7\}\)
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