anonymous
  • anonymous
Why must you flip the inequality symbol when you divide by a negative number? pls provide two examples too
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
zzr0ck3r
  • zzr0ck3r
think about 2<3 well -2>-3
anonymous
  • anonymous
I don't understand on Why must you flip the inequality symbol when you divide by a negative number?
jim_thompson5910
  • jim_thompson5910
let's say you had -x < 2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
ok
jim_thompson5910
  • jim_thompson5910
to solve you could divide both sides by -1 to get x > -2 OR you could add x to both sides to get -x < 2 -x+x < 2 + x 0x < 2 + x 0 < 2 + x then subtract 2 from both sides to get 0 < 2 + x 0 - 2 < 2 + x - 2 -2 < 0 + x -2 < x
jim_thompson5910
  • jim_thompson5910
notice how if we use the second method, we go from -x < 2 to -2 < x
jim_thompson5910
  • jim_thompson5910
so that's effectively the sign flipping
amistre64
  • amistre64
"sign flipping" is a method, and is not a valid property of algebra :) if they insist of including it, they should apply it to equalities as well so that you do not have different sets of "rules"
anonymous
  • anonymous
pls explain
zzr0ck3r
  • zzr0ck3r
lol I don't think it can be explained any better now you have to think.
jim_thompson5910
  • jim_thompson5910
where are you stuck GingaTheNinja?
zzr0ck3r
  • zzr0ck3r
@amistre64 is it not defined for regular equalities? or you can easily defined it that way because = would be the same if we "flip" it?
amistre64
  • amistre64
= flips to = so the process is redundant ... but in order to preserve one set of "rules" it should be included as well.
anonymous
  • anonymous
lol so it basically means that when we divide by negative you have to make it equal???
zzr0ck3r
  • zzr0ck3r
good call:)
jim_thompson5910
  • jim_thompson5910
what do you mean "have to make it equal"?
anonymous
  • anonymous
like.....
anonymous
  • anonymous
Why must you flip the inequality symbol when you divide by a negative number?
anonymous
  • anonymous
so you have to divide it too.....
amistre64
  • amistre64
12 > 4 divide both sides by -4, does the sign make sense afterwards?
amistre64
  • amistre64
the "reason" is as Jim described ....
amistre64
  • amistre64
"<" is a binary operation on a well ordered set for convenience, that can be written in a number of different ways
anonymous
  • anonymous
no because -3>-1 is t equal so like I stated before you flip the sign in order to make the situation true
amistre64
  • amistre64
correct, you flip it to retain its "truth" value
anonymous
  • anonymous
ok thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.