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Mathematics 10 Online
OpenStudy (anonymous):

–(2 + 2x) – 2 > 6

OpenStudy (austinl):

Distribute the negative first. combine like terms. get numerals on one side variables on the other.

OpenStudy (anonymous):

\[–(2 + 2x) – 2 > 6\] first distribute to get \[-2-2x-2>6\]

OpenStudy (anonymous):

okay that's what i got^

OpenStudy (anonymous):

then combine like terms, i.e. write \[-2x-4>6\]

OpenStudy (anonymous):

I got 2x>6

OpenStudy (anonymous):

oh no that is a mistake, lets go slow

OpenStudy (anonymous):

forget about the inequality for the moment your first job is to take \(–(2 + 2x) – 2 \) and remove the parentheses using the distributive law, then combine like terms

OpenStudy (anonymous):

\[-(2+2x)-2=-2-2x-2\] is a first step then since \(-2-2=-4\) you get \[-2x-4\]

OpenStudy (anonymous):

now the inequality reads \[-2x-4>6\]

OpenStudy (anonymous):

solve this in two steps : add \(4\) to both sides giving \(-2x>10\) then divide by \(-2\) and change the sense of the inequaltiy to finish with \[x<-5\]

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