Question

4x + 2 >-2x-2 solve this inequalities
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Answer 1

$\huge{ \boxed{ \fcolorbox{cyan}{pink}{Answer}}}$

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• To solve linear inequality, we isolate variable on one side and other constant terms on other side to get our answer.

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$\pink {:\longmapsto \; 4x + 2 > -2x -2 }$

$\green {:\longmapsto \; 4x +2x > -2 -2 }$

$\pink {:\longmapsto \; 6x > -4 }$

$\green {:\longmapsto \; x > \dfrac{-4}{6} }$

$\pink {:\longmapsto \; x > \dfrac{-2}{3} = -0.667}$

$\; \; \;$

$\boxed{ \fcolorbox{cyan}{black}{ \boxed{\bold \pink{ \boxed{ \fcolorbox{cyan}{orange}{ \boxed{\bold \purple{ Answer : x> \dfrac{-2}{3} }}}}}}}}$

Answer 2

Explanation:

4x + 2 >-2x-2

4x+2x> -2-2

6x> -4

x> -4/6

x> -2/3

x> -0.667

the value of x is less than -2/3 or -0.667