+53 Let's start by simplifying this nasty inequality.
\(3x+11>6x+8\)
\((3x-6x)+(11-11)>(6x-6x)+(8-11)\)
\(-3x>-3\) {nl}
There is something very important here, there is a rule, that when you multiply an inequality by a negative number (we are doing this to get rid of the negative signs) you "flip" the inequality sign.
\((-3x)(-1)>(-3)(-1)\)
\(3x<3\)
\(\frac{3x}{3}<\frac{3}{3}\)
\(x<1\)
As for graphing, we know that we have a < sign. That means that while x is less than 1, it cannot be equal to 1. This means that we would dotted line that shows the border of our inequality. This should suffice: https://www.desmos.com/calculator/fkzvmzvg9t
I hope this was helpful!
+53 Let's start by simplifying this nasty inequality.
\(3x+11>6x+8\)
\((3x-6x)+(11-11)>(6x-6x)+(8-11)\)
\(-3x>-3\) {nl}
There is something very important here, there is a rule, that when you multiply an inequality by a negative number (we are doing this to get rid of the negative signs) you "flip" the inequality sign.
\((-3x)(-1)>(-3)(-1)\)
\(3x<3\)
\(\frac{3x}{3}<\frac{3}{3}\)
\(x<1\)
As for graphing, we know that we have a < sign. That means that while x is less than 1, it cannot be equal to 1. This means that we would dotted line that shows the border of our inequality. This should suffice: https://www.desmos.com/calculator/fkzvmzvg9t
I hope this was helpful!
