Question

List the solution set of 30 - 4(2x - 1) < 30, given that x is a positive integer.
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Answer 1

Answer

• The solution set = {1, 2, 3 ...}

Step-by-step explanation:

To Find :-

• The solution set.

★ Solution

Given that,

• 30 - 4(2x - 1) < 30

⇒ 30 - 4(2x - 1) < 30

By multiplying, -4 with both (2x - 1),

⇒ 30 - 8x + 4 < 30

⇒ 30 + 4 - 8x < 30

By adding 30 and 4,

⇒ 34 - 8x < 30

Transposing - 34 to R.H.S,

⇒ - 8x < 30 - 34

By subtracting (30 - 34),

⇒ - 8x < - 4

⇒ 8x > 4

⇒ x > 4/8

By dividing 4 and 8 with 4,

⇒ x > 1/2

We got, [x > 1/2],

Given, "x is a positive integer"

∴ According the question, The solution set :-

⇒ The solution set = {1, 2, 3 ...}