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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]2 Marks
Question
Check the ordered points (1, −1), (2, −1) is a solution of 2x + 3y − 6 ≤ 0
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Answer

Given inequality: 2x + 3y – 6 ≤ 0

i.e., 2x + 3y ≤ 6 .......(i)

Consider point (1, –1).

Putting x = 1 and y = –1 in equation (i), we get

2(1) + 3(–1) = 2 – 3

= – 1 ≤ 6

which is true.

Consider point (2, –1)

Putting x = 2 and y = –1 in equation (i), we get

2(2) + 3(–1) = 4 – 3

= 1 ≤ 6

which is true.

∴ Given ordered pairs are solutions of 2x + 3y – 6 ≤ 0.

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