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Mathematics 20 Online
OpenStudy (yacoub1993):

What are the solutions of the inequality? Graph the solutions. b – 4 > 4 A. b >0 B. b > –8 C. b < –8 D. b > 8

OpenStudy (yacoub1993):

Is C the correct choice -8-4<4

OpenStudy (yacoub1993):

@Directrix

OpenStudy (yacoub1993):

u there @Directrix

Directrix (directrix):

I am here.

OpenStudy (yacoub1993):

Is C the correct choice -8-4<4

Directrix (directrix):

b – 4 > 4 b - 4 + 4 > 4 + 4 b + 0 > 8 b > 8

Directrix (directrix):

@Yacoub1993 I don't follow your thinking on this: -8-4<4

OpenStudy (yacoub1993):

how did u get the second step b-4+4>4+4

Directrix (directrix):

First step: b – 4 > 4 To solve for b, you have to get b alone. So, I added 4 to b - 4 to get just b on the left side. If I add 4 to one side of the inequality, I have to add it to the other side as well. 4 + 4 = 8 Putting that together: First step: b – 4 > 4 b - 4 + 4 > 4 + 4 b > 8

OpenStudy (yacoub1993):

ok got it it is clear now

OpenStudy (yacoub1993):

thank you

Directrix (directrix):

You are welcome.

OpenStudy (yacoub1993):

What is the graph of the inequality? d < 2

OpenStudy (yacoub1993):

OpenStudy (yacoub1993):

I AM NOT SURE BUT I THINK IT IS "C"

OpenStudy (yacoub1993):

@Directrix

Directrix (directrix):

@Yacoub1993 Why C and not B?

OpenStudy (yacoub1993):

I THOUGHT THE OPEN DOT not sure exactly

Directrix (directrix):

The open dot means that the number on which the open dot appears is not part of the solution. In d < 2 (Read as: d is less than 2), 2 is not part of the solution because 2 is NOT less than 2. So, an open dot on 2 is correct. I agree with you on this --> BUT I THINK IT IS "C"

OpenStudy (yacoub1993):

if the dots are dark or closed it means it is included

OpenStudy (yacoub1993):

can u give me an example wit a dot closed? i mean when do with close the dot u get what i mean

Directrix (directrix):

Yes, I understand what you are saying. Do this problem: d + 5 ≤ 7. The answer is one of the options you posted here (see attachment).

OpenStudy (yacoub1993):

is the frist choice

OpenStudy (yacoub1993):

wait let me make sure

Directrix (directrix):

Solve for d so that you will not have to guess. Okay?

OpenStudy (yacoub1993):

it is the second choice and this time it will be the closed dot

OpenStudy (yacoub1993):

am i doing right

Directrix (directrix):

The second choice with the closed dot is correct.

OpenStudy (yacoub1993):

thank you

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