1.

Solve the linear inequation and represent the solution set on the number line. 2x – 27 < 15 – 7x ≤ 1 , x ∈ N.

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Answer:

GIVEN inequation is

1≥15−7x≥2x−27

So we have,

1≥15−7x and 15−7x>2x−27

⇒7x≥15−1 and −2x−7x>−27−15

⇒7x≥14 and −9x>−42

⇒x≥2 and −x>−

9

42

⇒x≥2 and x<

3

14

⇒2≤x<

3

14

But as x∈N

The SOLUTION SET is {2,3,4}.

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