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Question

Solve the given inequalities graphically:
3x+2y 12,x 1,y 2

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Solution

Draw the line 3x+2y=12,x=1 and y=2. Now check for the position of origin w.r.t. the given lines to determine the solution of the inequalities.
For 3x+2y12 at (0,0), 3(0)+2(0)12<0. Hence, (0,0) lies in the inequality 3x+2y12
For x1 at (0,0), 01<0. Hence, (0,0) doesn't lie in the inequality x1
For y2 at (0,0), 02<0. Hence, (0,0) doesn't lie in the inequality y2.
The shaded part in the above graph represents the solution of the given inequlities.
684051_419408_ans_1eed19623ea04d81872ab0a5ed6cafd1.png

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