(b)Solve the following inequation and represent it on a number line: [3]
−2
5
6
<
1
2
−
2x
3
≤ 2 ; x ∈ N
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Answer:
Step-by-step explanation:
Consider the given inequation: 25 1 2x - 6 2 3 <2
3 - 4x 6 12 6 ↑ 6
17 6 4x 3 -12 6 6
⇒17> 4x - 3> -12
⇒-12 4x - 3 < 17
⇒ −12+3 ≤ 4x −3+3 < 17 +3
⇒-9 ≤ 4x < 20
4x 20 4 9 VI
↑
9 < x < 5
4 Since x EW, the Required solution set
= {0,1,2,3,4}
View in app X
And the required number line is as follows:
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