Solution set of the inequality 2x + y 5 is | vedclass

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(B) To find the solution set of the inequality $2x + y > 5$,we first consider the boundary line $2x + y = 5$.Since the inequality is strict $(>)$,the

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The open half plane not containing origin

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(B) To find the solution set of the inequality $2x + y > 5$,we first consider the boundary line $2x + y = 5$.Since the inequality is strict $(>)$,the points on the line $2x + y = 5$ are not included in the solution set.Now,we test the origin $(0, 0)$ in the inequality:$2(0) + 0 > 5 \implies 0 > 5$,which is false.Since the origin does not satisfy the inequality,the solution set is the open half-plane that does not contain the origin.

Solution set of the inequality $2x + y > 5$ is $.......$

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