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Mathematics 14 Online
OpenStudy (anonymous):

help

OpenStudy (anonymous):

\[Solve -2x + 1 \le-7\] and describe the graph of the solution.

OpenStudy (anonymous):

What rules of operations with inequalities do you know?

OpenStudy (anonymous):

idk

OpenStudy (anonymous):

Ok, in general you can treat an inequality just like an equals sign EXCEPT if you multiply or divide both sides by a negative number. If you do so, you must flip the inequality sign. So your steps to solve this would be the same as if \[-2x+1=-7\] EXCEPT if you divide/multiply by a negative number you need to flip the inequality. for example \[x+10\ge 40 \to x\ge 40-10\] \[-9x\le 90 \to x\ge 10\]

OpenStudy (anonymous):

x > 4; closed circle on 4, shading to the right

OpenStudy (anonymous):

why did you go from \[\ge \to >\] ?

OpenStudy (anonymous):

also why a circle, circles involve a y variable, there isn't one. The answer is simpler than a two dimensional graph

OpenStudy (anonymous):

i dont konw the answer

OpenStudy (anonymous):

Ok so a model for you to use. Let's say that \[-10x +2 \ge -8\] then \[-10x +2 -2\ge -8-2\] becomes \[-10x \ge -10\] divide both sides by (-10) and remember to flip the inequality \[x \le 1\] graphing this is the same this as showing graphically that x is less than or equal to 1. |dw:1351975566818:dw| would be the graph. Try using this model as a tool to solve your problem.

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