How do you solve a system of inequalities by graphing


Asked by admin @ in Mathematics viewed by 278 People


To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of the graphs.

A. True
B. False

Answered by admin @



Consider a system of inequalities

Consider inequality in  two variable

1.  a x + b y ≤ c

2 .  p x + q y ≥ r   3. x ≥ 0  4. y≥ 0

By drawing the graph ,You can find the region bounded by inequality 1, then reason bounded by inequality 2 , and then you can find the region common to both the inequality.

Consider the given  inequality

x + y ≤2

x + y ≥1,

x≥ 0, y≥0.

You can find the solution below.

So, the Statement, To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of the graphs is True.





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