How do you simplify #4( k - 1) + 2> 6#?

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Answer 1 · 2018-05-08T02:27:49

#k > 2#

Solving inequalities is similar to solving equations.

First, distribute #color(blue)(4(k-1))#:
cdn.virtualnerd.com

Based on this image, we know that it becomes:
#4k - 4#

Put it back into the inequality:
#4k - 4 + 2 > 6#

Combine #color(blue)(-4 + 2)#:

#4k - 2 > 6#

Add #color(blue)2#to both sides:
#4k - 2 quadcolor(blue)(+quad2) > 6 quadcolor(blue)(+quad2)#

#4k > 8#

Divide both sides by #color(blue)4: #(4k)/color(blue)4 > 8/color(blue)4#

#k > 2#

Hope this helps!