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Mathematics 15 Online
OpenStudy (cenaida):

Which inequality best represents the graph? solid line through points 0 comma 1 and point 1 comma negative 1 with shading above and to the right of the line. A. y≤1-2x B. y≥1-2x C. y>1-2x D. y<1-2x

OpenStudy (anonymous):

since the answers all are 1-2x, we can assume that it will be '1-2x' and lets focus on the signs, the picture shows a solid line, when there is a solid line on a graph, which of the two answers you can cross out right away?

OpenStudy (cenaida):

a and b?

OpenStudy (cenaida):

@kenjiof1996

OpenStudy (anonymous):

please think again, if it is a dashed line on the graph it means its not included thus u use >,< . but thats not the case for your graph. your graph has a solid line, which means included those points on the line, therefore which two are you going to cross out?

OpenStudy (cenaida):

b and c

jimthompson5910 (jim_thompson5910):

the boundary line is sold, so the inequality sign is ≤ or ≥

jimthompson5910 (jim_thompson5910):

the shaded region is above the boundary line, so this means that the inequality sign is either > or ≥

jimthompson5910 (jim_thompson5910):

> or ≥ means you shade above the boundary line

jimthompson5910 (jim_thompson5910):

that's if y is fully isolated

OpenStudy (cenaida):

ooh so could it be B ?

jimthompson5910 (jim_thompson5910):

it is B

OpenStudy (cenaida):

Ok I understand it much better thanks jim!

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

@cenaida I think your question got solved now. @jim_thompson5910 has explained it anyway.

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