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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 6 – Linear Inequalities Maths<br />

______________________________________________________________________________<br />

Question 14:<br />

Solve the following system of inequalities graphically:<br />

3x 2y 150, x 4y 80, x 15, y 0, x 0<br />

Solution 14:<br />

<br />

3x2y150 ..... 1<br />

<br />

x4y<br />

80...... 2<br />

x 15..... 3<br />

The graph of the lines, 3 2 150, 4 80<br />

x y x y <br />

and<br />

Inequality (1) represents the region below the line,<br />

x 15, are drawn in the figure below.<br />

3x2y<br />

150<br />

3x2y<br />

150 ). Inequality (2) represents the region below the line,<br />

x4y<br />

80<br />

(including the line<br />

line x4y<br />

80 ). Inequality (3) represents the region on the left hand side the line,<br />

(including the line<br />

Since and<br />

x 0<br />

x 15).<br />

(including the<br />

x 15<br />

y 0, every point in the common shaded region in the first quadrant including<br />

the points on the respective lines and the axes represents the solution of the given system of<br />

linear inequalities.<br />

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