Jambmaths question:
Find the integral values of x and y satisfying the inequality 3y + 5x ≤ 15 given y > 0, y < 3, and x >0
Option A:
(1,1), (1,2), (1,3)
Option B:
(1,1), (2,1), (1,3)
Option C:
(1,1), (3,1), (2, 2)
Option D:
(1,1), (1,2), (2,1)
Jamb Maths Solution:
3y + 5x ≤ 15
Since we have been given the range of values for x and y
For y: 0 < y < 3
For x: x > 0
When x =1, y = 1
3(1) + 5(1) ≤ 15 {the inequality is satisfied}
When x =1, y = 2
3(2) + 5(1) ≤ 15 {the inequality is satisfied}
When x =2, y = 1
3(1) + 5(2) ≤ 15 {the inequality is satisfied}
When x =2, y = 2
3(2) + 5(2) > 15 { the inequality is not satisfied}
When x =1, y = 3
The integral values of x, y are (1,1),(1,2), (2,1)
Option D
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