December 26, 2024
Explanation:
(12)
2|X| + 3|Y| ≤ 6
Above inequality represent an area bounded by 4 lines which are
(i) 2x + 3y = 6
(ii) 2x - 3y = 6
(iii) -2x + 3y = 6
(iv) -2 x – 3y = 6
By drawing these 4 lines on graph, we get a rhombus.
Area of rhombus = 1/2 d1.d2
= 1/2 × 4 × 6
= 12 sq. units