ICSE Class X Math 2014 Solved Paper
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Question : 2
Total: 52
Find the value of x , which satisfy the inequation − 2
<
−
≤ 2 , x ∈ W . Graph the solution set on the number line.
Solution:
Given: − 2
<
−
≤ 2
⇒ −
<
≤ 2
Multiplying throughout by 6
− 17 < 3 − 4 x ≤ 12
− 17 < 3 − 4 x and 3 − 4 x ≤ 12
⇒ 4 x < 3 + 17 and 3 − 12 ≤ 4 x
⇒ 4 x < 20 and − 9 ≤ 4 x
⇒ x < 5 and −
< x
{ 5 > x ≥
}
Hence, the solution set is
{ x : x ∈ W , −
≤ x < 5 }
∴ Values of x are { 0 , 1 , 2 , 3 , 4 }
The graph of the solution set is shown by dots on the number line.
Multiplying throughout by 6
Hence, the solution set is
The graph of the solution set is shown by dots on the number line.
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