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Mathematics 7 Online
adevanath:

how do you do a compound inequality

Vocaloid:

|dw:1547416765524:dw| it would probably help to have some specific examples but are you thinking something like this?

adevanath:

−9x+2>18 OR 13x+15≤−4

Vocaloid:

start with one at a time −9x+2>18 isolate x algebraically, do you know how to do this?

adevanath:

-2 from both sides

Vocaloid:

good, so you would get -9x > 16 then the next step is to divide both sides by -9 x < -16/9 when you multiply or divide by a negative number simply flip the direction of the inequality

Vocaloid:

then you would simply solve 13x+15≤−4 for x using the same logic

adevanath:

then what is the answer

Vocaloid:

please solve 13x+15≤−4 for x, I will help you if you get stuck.

adevanath:

is that will equal x < -19/13

adevanath:

*so*

Vocaloid:

almost, ≤ not < (notice the sign in the original inequality) so after that just put the two solutions together x < -16/9 or x<=-19/13 since the interval x < -16/9 is included w/in the interval x <= -19/13 it should just be x <= -19/13

adevanath:

lol thanks😀

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