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

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o

Answer from: Quest

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

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

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