Only the point (0,2) is located on the boundary of the solution zone, as can be seen from the graph. The solution region does not contain any of the specified points.
In mathematics, an inequality establishes the relationship between two values that are not equal. The opposite of equality is inequality. The not equal symbol () is typically used to indicate that two values are not equal. To contrast tiny and big numbers, however, a number of inequalities are utilised. An unequal connection between two values of an algebraic expression is referred to as an inequality in mathematics. Any variable that is larger than, greater than, or equal to, less than, less than, or equal to another value can be indicated by an inequality symbol.
The system of inequalities is shown to us,
[tex]y > x +2 \\y < 2x+3[/tex]
Therefore, by inserting (0,0) in the inequality and using the "Zero test," we have,
[tex]y > x +2[/tex] suggests that 0 > 2, which is untrue, and [tex]y < 2x+3[/tex] suggests that 0 3 is correct.
Consequently, the region of [tex]y > x +2[/tex] is away from the origin and[tex]y < 2x+3[/tex] is towards the origin.
As a result, after plotting, we obtain the graph shown below.
Only the point (0,2) is located on the boundary of the solution zone, as can be seen from the graph.
However, because we have stringent inequalities, the border is not part of the solution zone.
As a result,
The solution region does not contain any of the specified points.
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