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Chapter 1: Q3. (page 37)

Write an inequality for which solution set is the empty set.

Short Answer

Expert verified

Inequality for which solution set is an empty set is 4x+26<2x+13

Step by step solution

01

- Write properties of inequality

Properties of inequalities are written in following table:

02

- Meaning of “Inequality with solution set as empty set”

Solution of an inequality is empty set when on solving it a universal false statement is obtained

03

- Write an inequality whose solution is empty set

To write such example take one wrong statement and then use properties of inequalities as shown below

0<0False4x+2<4x+2Addsamenumber4x+26<22x+16Dividebypositivenumber4x+26<2x+13

Thus, required inequality is 4x+26<2x+13

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