Respuesta :

Answer:Option 'A' is correct. i.e. [tex]x>\frac{1}{6}[/tex]

Step-by-step explanation:

Since we know that

[tex]-2(8x -4) < 2x + 5[/tex]

We need to solve for 'x':

So, it becomes,

[tex]-2(8x -4) < 2x + 5\\\\-16x+8<2x+5\\\\-16x-2x>5-8\\\\-18x>-3\\\\x>\frac{1}{6}[/tex]

Hence, Option 'A' is correct. i.e. [tex]x>\frac{1}{6}[/tex]

Answer:

A. [tex]x>\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the inequality, [tex]-2(8x-4)<2x+5[/tex]

On simplifying, we get,

[tex]-2(8x-4)<2x+5[/tex]

i.e. [tex]-16x+8<2x+5[/tex]

i.e. [tex]-18x<-3[/tex]

i.e. [tex]6x>1[/tex]

i.e. [tex]x>\frac{1}{6}[/tex]

Thus, the solution of the inequality is [tex]x>\frac{1}{6}[/tex].

Hence, option A is correct.

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