NCERT Class 11-Math's: Chapter –6 Linear Inequalities Part 10

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Question 31:

State which of the following statements is True or False

(i) If and , then .

(ii) If , then and

(iii) If , then and

(iv) If , then and

(v) If and , then

(vi) If and , then

(vii) If and , then

(viii) If , then

(ix) If , then

(x) Graph of is

Chapter 6-Question 31-Graph of fig 6.12

Chapter 6-Question 31-Graph of Fig 6.12

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(xi) Graph of is

Chapter 6-Question 31-Graph of fig 6.13

Chapter 6-Question 31-Graph of Fig 6.13

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(xii) Graph of is

Chapter 6-Question 31-Graph of fig 6.14

Chapter 6-Question 31-Graph of Fig 6.14

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(xiii) Solution set of and is

Chapter 6-Question 31-Graph of fig 6.15

Chapter 6-Question 31-Graph of Fig 6.15

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(xiv) Solution set of and is

Chapter 6-Question 31-Graph of fig 6.16

Chapter 6-Question 31-Graph of Fig 6.16

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(xv) Solution set of is

Chapter 6-Question 31-Graph of fig 6.17

Chapter 6-Question 31-Graph of Fig 6.17

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Answer:

(i) F

(ii) F

(iii) T

(iv) F

(v) T

(vi) F

(vii) T

(viii) F

(ix) T

(x) F

(xi) T

(xii) F

(xiii)F

(xiv)T

(xv) T.

Question 32:

Fill in the blanks of the following:

(i) If , then _______.

(ii) If then ______ .

(iii) If , then _______ .

(iv) If , then _________.

(vi) If and , then ________.

(vii) If , then _______ or _________

(viii) If , then __________ .

Answer:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)