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What is the answer for -x + 8 > 6 answer

2 Answers

2 votes

Explanation:


-x+8>6\qquad\text{subtract 8 from both sides}\\\\-x+8-8>6-8\\\\-x>-2\qquad\text{change the signs}\\\\x<2\to x\in(-\infty,\ 2)

What is the answer for -x + 8 > 6 answer-example-1
User Xmo
by
4.4k points
7 votes


\text{Hey there!}


\text{The opposite of addition is \bf{SUBTRACTION}}


\text{So, subtract by 8 on each of your sides}


\text{Like}\downarrow\\\text{-x + 8 - 8 }>\text{ 6 - 8}


\text{Cancel out: 8 - 8 because it is 0}\\\text{Keep: 6 - 8 because it helps us solve for the answer}


\text{6 - 8 = -2}


\text{We understood that -x is an invisible -1 }


\text{Next step is to DIVIDE both sides by -1}


\frac{\text{-x}}{-1}>(-2)/(-1)


\text{Cancel out: }\frac{-\text{x}}{-1}\text{ because that gives you the result of 1}\\\text{Keep:} (-2)/(-1)\text{ because it helps us find the answer. It equals 2}


\boxed{\boxed{{\bf{Answer: x<2}}}}\checkmark


\checkmark\text{Note: it is an 0PEN circle shaded to the LEFT}\checkmark


\text{Good luck on your assignment and enjoy your day!}

~
\frak{LoveYourselfFirst:)}

User Yattabyte
by
5.1k points