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Mathematics 10 Online
OpenStudy (gamer56):

Help please, Thank you :D

OpenStudy (gamer56):

OpenStudy (thomas5267):

Any value at that line are solutions to \(y=2x+3\). So any x and y satisfying \(y<2x+3\) must lie below that line. Do you get it?

OpenStudy (gamer56):

Yes But may i have a answer and explanation ?

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

All points on the line must satisfy \((x,\underbrace{2x+3}_{y\text{ coordinate}})\) as the line is defined as y=2x+3. So if the inequality is \(y<2x+3\), then the area below the line will be solutions to this inequality. For example, take x=1. Then the point on line when x=1 is (1,3). Any points directly under (1,3) will satisfy the inequality. So the area under the line is the solution set. Furthermore, as the equation is \(y<2x+3\) not \(y\leq 2x+3\) so points on line itself is not a solution to \(y<2x+3\). I will let you figure out which one is the correct answer.

OpenStudy (gamer56):

B or A. !

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

"So if the inequality is y<2x+3, then the area below the line will be solutions to this inequality."

OpenStudy (gamer56):

So a ?

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

"So if the inequality is y<2x+3, then the area BELOW the line will be solutions to this inequality."

OpenStudy (gamer56):

OHH! B !

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

Wait. Which is the solution area? The grey area or the white area?

OpenStudy (gamer56):

Idk can you tell me

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

I guess the grey area would be the solution area. So which of the four graphs show the correct placement of the grey area?

OpenStudy (gamer56):

Well whats the correct placement ? @thomas5267

OpenStudy (thomas5267):

Hint 1: The area below the line will be solutions to this inequality. Hint 2: Points on line itself is not a solution to y<2x+3.

OpenStudy (gamer56):

C,

OpenStudy (gamer56):

@thomas5267

OpenStudy (gamer56):

@thomas5267

OpenStudy (thomas5267):

I think it is C.

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