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
So, the correct answer is (b)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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