NCERT Class XI Mathematics - Linear Inequalities - Solutions

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Question : 37
Total: 65
x ≥ 3, y ≥ 2
Solution:  

x ≥ 3, y ≥ 2
(i) AB represents the line x = 3
Putting x = 0 in x ≥ 3
0 ≥ 3, which is not true.
Therefore, origin does not lie in the region of x ≥ 3
Its graph is shaded on the right side of AB.
(ii) CD represents the line y = 2
Putting y = 0 in y ≥ 2
0 ≥ 2, which is not true.
Therefore, origin does not lie in the region of y ≥ 2.
Its graph is shaded above the CD.
Solution of system x ≥ 3 and y ≥ 2 is shown as the shaded region.
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