Question

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Solve : 30 - 4(2x - 1) < 30, where is a positive
integer and graph the solution on the number line.

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Answer 1

Answer:

Given inequation,

30−4(2x−1)<30

⇒30−8x+4<30

⇒34−8x<30

⇒−8x<30−34

⇒−8x<−4

⇒8x>4[On multiplying both sides by -1, the inequality reverses]

⇒x>4/8

⇒x>1/2

As x is a positive integer

The solution set is {1,2,3,…}

Answer 2

30 - 4(2x - 1) < 30, where is a positive integer and graph the solution on the number line.

Given inequation,

30−4(2x−1)<30

⇒30−8x+4<30

⇒34−8x<30

⇒−8x<30−34

⇒−8x<−4

⇒8x>4[On multiplying both sides by -1, the inequality reverses]

⇒x>4/8

⇒x>1/2

As x is a positive integer

The solution set is {1,2,3,…}