A device of straight inequalities in two variables consists of at the very least two straight inequalities in the very same variables. The systems of a straight inequality is the notified pair that is a systems to every inequalities in the system and the graph of the direct inequality is the graph that all remedies of the system.

**Example**

Graph the system of inequalities

$$\\\left\{\beginmatrix y\leq 2x-3\: \: \: \: \: \: \: \: \\ y\geq -3\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ y\leq -1.25x+2.5 \endmatrix\right.\\$$

Graph one heat at the moment in the exact same coordinate airplane and the shade the half-plane that satisfies the inequality.

The solution an ar which is the intersection that the half-planes is presented in a darker shade

Usually just the solution an ar is shaded which provides it simpler to check out which region is the systems region

**Video lesson**

Graph the device of inequalities

$$\\\left\{\beginmatrix x > 3 \\ y \leq -x + 2 \endmatrix\right.\\$$

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 INEQUALITIES – Graphing direct systems

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