A system of direct ineattributes in 2 variables is composed of at leastern 2 direct inefeatures in the same variables. The solution of a straight inequality is the ordered pair that is a solution to all inequalities in the mechanism and the graph of the linear inetop quality is the graph of all services of the device.

Example

Graph the device of inequalities

$$\left{eginmatrix yleq 2x-3: : : : : : : : \ ygeq -3: : : : : : : : : : : : : : : \ yleq -1.25x+2.5 endmatrixideal.\$$

Graph one line at the time in the same coordinate airplane and shade the half-plane that satisfies the inequality.

The solution region which is the intersection of the half-planes is presented in a darker shade

Typically only the solution region is shaded which provides it much easier to see which region is the solution region

Video lesson

Graph the mechanism of inequalities

$$\left{eginmatrix x > 3 \ y leq -x + 2 endmatrixappropriate.\​$$

You are watching: Which system of linear inequalities has the point (2 1) in its solution set

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SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES – Graphing direct systems
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