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Mathematics 19 Online
OpenStudy (11study11):

help

OpenStudy (11study11):

Solve the compound inequality 6b < 42 or 4b + 12 > 8. b < 6 or b > 5 b < 7 or b > −1 b < 7 or b > 1 b > 6 or b < 5

OpenStudy (11study11):

is it B.

OpenStudy (11study11):

@Data_Lg2 @Mehek14 @zepdrix

Mehek (mehek14):

Yes, you are correct.

OpenStudy (11study11):

Can you help with some more?

Mehek (mehek14):

Yes

OpenStudy (11study11):

Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 2 and 2, shading going in the opposite directions.

OpenStudy (11study11):

I'm not sure what the answer is.

Mehek (mehek14):

Do you have images of the number lines?

OpenStudy (11study11):

no

jimthompson5910 (jim_thompson5910):

Rule: `|x| > k` will break into `x > k` or `x < -k` where k is some positive number

jimthompson5910 (jim_thompson5910):

Using the rule, this will make |2x + 4| > 8 turn into 2x+4 > 8 or 2x+4 < -8 solve the two inequalities for x

OpenStudy (11study11):

x=2 and x=-24?

OpenStudy (11study11):

wait

OpenStudy (11study11):

x=greater than 2 and x= less than -24?

jimthompson5910 (jim_thompson5910):

2x+4 > 8 2x+4-4 > 8-4 2x > 4 2x/2 > 4/2 x > 2 first part looks good

jimthompson5910 (jim_thompson5910):

2x+4 < -8 2x+4-4 < -8-4 2x < -12 2x/2 < -12/2 x < -6

jimthompson5910 (jim_thompson5910):

you must have doubled 12 to get 24, when you should have divided both sides by 2 instead

OpenStudy (11study11):

oh

OpenStudy (11study11):

Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 2 and 2, shading going in the opposite directions. is it c

jimthompson5910 (jim_thompson5910):

so we found that x > 2 or x < -6. Do you know how to graph this on a number line?

OpenStudy (11study11):

open circle on -6 going to the left and open circle on 2 going to the right.

jimthompson5910 (jim_thompson5910):

very good

OpenStudy (11study11):

thanks

jimthompson5910 (jim_thompson5910):

no problem

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