A mechanism of straight inequalities in two variables is composed of at least two direct inequalities in the same variables. The systems of a linear inequality is the ordered pair that is a systems to every inequalities in the system and the graph of the linear inequality is the graph of all services of the system.

**Example**

Graph the system of inequalities

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

Graph one heat at the time in the exact same coordinate aircraft and shade the half-plane the satisfies the inequality.

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

Usually only the solution region is shaded which provides it less complicated to view which an ar is the solution region

**Video lesson**

Graph the system of inequalities

$$\left{eginmatrix x > 3 \ y leq -x + 2 endmatrix ight.\$$

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

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Systems of direct equations and also inequalities

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