Question

(1) 4 - x > -2, x = N​

Answer 1

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4 - 2 > x

→ 2 > x

→ x = 1

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Answer 2

Answer:

(i) Given, 4 - x > -2

Subtract 4 from both sides 

⟹−4+4−x>−2−4−x>−6

⟹x<6 (Reverse the symbols)

As xϵN, the solution set= {1, 2, 3, 4, 5}

The graph of the solution set

(ii) Given 3x+1≤8

Subtracting -1 from both sides,

3x+1−1≤8−1

3x≤7

Dividing both sides by 3

⟹x≤37

As x= W, the solution set= {0, 1, 2}

The graph of the solution set