The solution set of the inequality 3x + 5y < 4 is

(a) an open half-plane not containing the origin.

(b) an open half-plane containing the origin.

(c) the whole XY-plane not containing the line 3x + 5y = 4.

(d) a closed half plane containing the origin.

 

[Class 12 - MCQ] The solution set of the inequality 3x + 5y < 4 is - CBSE Class 12 Sample Paper for 2023 Boards

part 2 - Question 7 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Question 7 The solution set of the inequality 3x + 5y < 4 is (a) an open half-plane not containing the origin. (b) an open half-plane containing the origin. (c) the whole XY-plane not containing the line 3x + 5y = 4. (d) a closed half plane containing the origin.Plotting 3x + 5y < 4 on number line Putting (0, 0) in inequality 3(0) + 5(0) < 4 0 + 0 < 4 0 < 4 This is true, So, the solution set contains origin Since the solution is Open half plane Containing origin So, the correct answer is (b)

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