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Solve multi-step inequalities

Added Jan 10, 2017 •

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hi my name is Maria and I'm a mathematician and today I'm going to show you how to solve multi-step inequalities so negative two parentheses x  + 3 is greater than or equal to okay  the little shark at that I like to remember whenever you're solving a multi-step inequality equation is the three letters DCI standing for Dish combined and then use inverse operation so first thing I always want to do if I see it is distribute that -2 outside of a parenthesis means I need to distribute it -2 times is -2 x negative 2 times positive 3 is -6 is greater than or equal to 10 all right I said DCI and that set for combining like terms there are no light turns on the side and there are no like terms on this site so I move on to the next part inverse operations I'm trying to isolate X can get it by itself and I always want to get rid of addition or subtraction before I get rid of most patient or Edition so I'm going to do plus 6 on both sides to get rid of that minus 6 why because mine is 6 + 6 is 0 + 0 + -2 x still just -2X bring down your greater than or equal to sign + 10 + is 16  one more step I have to give her to the negative 2 which is Dean X the X the inverse operation of multiplying is dividing so I'm going to do by both sides by -2 and when I do that I'm going to put a big star here because hopefully you know the rule that's coming -2 divided by -2 is 1 and 1 * X is just next 16 divided by -2 is -8 but I did something really important here I divided by a negative number and whenever you do that that any please find has to flip the other way so it was a greater than sign but because I divided by -2 it became a less than sign so my solution is is a less than or equal to negative 8 so when I go to graph a plot my zero to balance it out -8 is summer in the left of the zero I'm going to shade in Mysore because that line underneath the any probably tells me to shave and I'm going to go left because the says X is less than -8 all the numbers less than -8 are on the left side of the -8 and that's how you solve a multi-step inequality

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Solve multi-step inequalities

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