Mathematics, 10.07.2019 21:10 love123jones

Which graph represents the solution set of the system of inequalities? −3x+y> 1 y≥x−1

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Answer from: Arealbot

Option D is the correct choice.

Step-by-step explanation:

We have been given a system of inequalities. We are asked to choose the graph that represents solution set of the given system.

-3x+y1

$y\geq x-1$

The boundary line of -3x+y1 will be a dotted line as it has a sign. The boundary line of this inequality will cross y-axis at point (0,1) and will have a slope of 3.

The boundary line of $y\geq x-1$ will be a solid line as it has a $\geq$ sign. The boundary line of this inequality will cross y-axis at point (0,-1) and will have a slope of 1.

Now, we will check point (0,0) in both inequalities to find the shaded region.

$y\geq x-1$

$0\geq 0-1$

$0\geq -1$

Point (0,0) satisfies inequality $y\geq x-1$ , so shaded region will be area including point (0,0)

-3(0)+01

0+01

Point (0,0) doesn't satisfy inequality -3x+y1 , so shaded region will be area excluding point (0,0).

The solution set of given system of inequalities will be area of included in both inequalities.

We can see that last option is the correct choice as it has one dotted line (y-intercept 1) and one solid line (y-intercept -1).

Therefore, option D is the correct choice.

Answer from: Jasmine3864

The bottom choice one the right is correct

Step-by-step explanation:

Hope this helps :)

Answer from: Quest

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

Answer from: Quest

the two may have that, even a breakdown is probably offered

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