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CLASS_11_MATHS_SOLUTIONS_NCERT

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

______________________________________________________________________________<br />

Question 13:<br />

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

4x 3y 60, y 2 x, x 3, x, y 0<br />

Solution 13:<br />

<br />

4x3y60...... 1<br />

<br />

y<br />

2 x...... 2<br />

<br />

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

The graph of the lines, 4 3 60, 2<br />

x y y x<br />

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

4x3y<br />

60).<br />

x 3, are drawn in the figure below.<br />

4x3y<br />

60<br />

Inequality (2) represents the region above the line,<br />

y 2x<br />

y 2x). Inequality (3) represents the region on the right hand side of the line,<br />

x 3).<br />

(including the line<br />

(including the line<br />

x 3(including<br />

the line<br />

Hence, the solution of the given system of linear inequalities is represented by the common<br />

shaded region including the points on the respective lines as follows.<br />

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