ICSE Class X Math 2013 Solved Paper | Question 20

ICSE Class X Math 2013 Solved Paper

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Question : 20

Total: 46

SECTION - II

Solve the following inequation, write the solution set and represent it on the number line :
−‌

x

3

≤‌

x

2

−1‌

1

3

<‌

1

6

,x∈R

Solution:

Given: ‌‌−‌

x

3

≤‌

x

2

−1‌

1

3

<‌

1

6

−‌

x

3

≤‌

x

2

−1‌

1

3

−‌

x

3

≤‌

x

2

−‌

4

3

‌

4

3

≤‌

x

2

+‌

x

3

‌

4

3

≤‌

3x+2x

6

‌

4

3

≤‌

5x

6

‌

6×4

5×3

≤x
‌

8

5

≤x‌ or ‌1.6≤x
‌

x

2

−1‌

1

3

‌<‌

1

6

‌

x

2

−‌

4

3

‌<‌

1

6

‌

x

2

‌<‌

1

6

+‌

4

3

‌

x

2

‌<‌

1+8

6

‌

x

2

‌<‌

9

6

x‌<‌

9×2

6

x‌<3
∴ The solution set is {x:1.6≤x≤3,x∈R} Number line

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