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Mathematics 16 Online
Arieonna:

please help with Math

Arieonna:

Arieonna:

@krissy525

Arieonna:

please someone i need help

KingPizza:

So here, according to the number line, x is between -6 and 6. So the inequality that is chosen must have a solution set of x>-6 and x<6. Which one do you think that would be?

Arieonna:

E

KingPizza:

actually, x<=6 would be a correct inequality, but not x>=6, as the number line would have to show values greater than 6 and less than -6. There is an inequality provided that is equal to x<6 that would be correct here

KingPizza:

so not E

Arieonna:

B is the closest to what u said would that be it cause i can not find x<6 as a choice

Arieonna:

so is it B

KingPizza:

you would be close, but the number line actually has values greater than -6 here, not less than -6 (less than -6 would be numbers like -7). So flip the inequality sign around in part B and you would be correct

KingPizza:

so what would the new answer be now?

Arieonna:

F?

KingPizza:

There would actually be no solution in this case, x would be less than -6 and greater than 6 which is not even possible. Remember that one of the solution to these absolute value inequalities is the same as the inequality.

KingPizza:

so we can rule out B and F, and based on what I said, choice E too.

Arieonna:

what does that mean

KingPizza:

so for example, if we had the inequality x>-2, we would have a solution that is x>-2, and one that is x<2 (we flip around the inequality sign for the positive 2). The same would apply for -6 and 6, so x>-6 would work here

Arieonna:

ok than would A be the answer ????

KingPizza:

okay I made a mistake here, I thought the number line showed a solution set for the values between -6 and 6 here, but it actually shows no solution set. and it would not include the values 6 and -6 based on the number line, so I believe you were right with B

Arieonna:

it was D

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