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Question
The solution set of the inequality 3x + 5y < 4 is ______.
Options
an open half-plane not containing the origin.
an open half-plane containing the origin.
the whole XY-plane not containing the line 3x + 5y = 4.
a closed half-plane containing the origin.
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Solution
The solution set of the inequality 3x + 5y < 4 is an open half-plane containing the origin.
Explanation:
The strict inequality represents an open half-plane and it contains the origin as (0, 0) satisfies it.
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