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