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Mathematics

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

Linear Inequations

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Answer

Given,

30−4(2x−1)<30⇒30−8x+4<30⇒34−8x<30⇒34−30<8x⇒8x>4⇒x>1230 - 4(2x - 1) \lt 30 \\[0.5em] \Rightarrow 30-8x+4 \lt 30 \\[0.5em] \Rightarrow 34-8x \lt 30 \\[0.5em] \Rightarrow 34-30 \lt 8x \\[0.5em] \Rightarrow 8x \gt 4 \\[0.5em] \Rightarrow x \gt \dfrac{1}{2}

Since , x is a positive integer
x = {1, 2, 3, 4, …..}.

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