Solution set of the inequality 2x + y , > , 5 is ....... - Vidyadip

MCQ

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

A
The half plane containing origin
✓
The open half plane not containing origin
C
$xy$- plane excepts the points on the line $2x + y = 5$
D
None of these

✓

Answer

Correct option: B.

The open half plane not containing origin

b
The open half plane not containing origin In the solution set of $2 x+y\,>\,5$

No points on the line $2 x+y=5$ are included.

For $\mathrm{O}\,(0,0), 0+0\,>\,5 \mathrm{which}$ is not true.

$\therefore$ The open half plane not containing origin in the solution set of $2 x+y\,>\,5$

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