Question

Find the solution

30 - 4 (2x - 1 ) < 30

​

Answer 1

Step-by-step explanation:

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

$\Huge\sf\red{{\rm{A}}nswe{\rm{R}}:}$

$\bf{{\underline{solution}}:}$

$⇝\large{\tt{30 - 8x + 4 < 30}}$

$⇝\large{\tt{34 - 8x < 30}}$

$⇝\large{\tt{- 8x < -4}}$

$⇝\large{\tt\dfrac{ - 8x}{ - 8}} > {\tt\dfrac{ -4 }{ - 8}}$

$❥\small{\boxed{\bold{\bold{\green{\sf{x >{\dfrac{1}{2}}}}}}}}$