A system of linear inequalities in two variables is composed of at least two straight inequalities in the exact same variables. The solution of a straight inequality is the ordered pair the is a solution to every inequalities in the system and also the graph that the straight inequality is the graph of all remedies 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 moment in the very same coordinate aircraft and the 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 just the solution an ar is shaded which renders it easier to check out which region is the equipment region

## Video lesson

Graph the mechanism of inequalities

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

You are watching: Which system of inequalities does the graph represent

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SYSTEMS OF straight EQUATIONS and INEQUALITIES – Graphing direct systems
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