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Fofino [41]
3 years ago
9

Which of the following points is a solution to the system of linear inequalities

Mathematics
2 answers:
Nitella [24]3 years ago
4 0

Answer:

(-4,-1) satisfies the given system of inequalities

Step-by-step explanation:

2x+y

-x+y>0

To find out the solution we check with each option

(4,1) , x=4 and y=1 (Plug in x and y values in the given inequalities)

2(4)+1

9 False

(-4,-1) , x=-4 and y=-1 (Plug in x and y values in the given inequalities)

2(-4)-1

-9 True

Now plug it in second inequality

-(-4)-1>0

3>0 True

(-8,-21) , x=-8 and y=-21 (Plug in x and y values in the given inequalities)

2(-8)-21

-37 True

Now plug it in second inequality

-(-8)-21>0

-13>0 False

(8,11) , x=8 and y=-11(Plug in x and y values in the given inequalities)

2(8)+11

-9 false

Sergeu [11.5K]3 years ago
3 0
For it to be a solution, it has to satisfy both inequalities...

subbing in (-4,-1)

2x + y < -5                           -x + y > 0
2(-4) - 1 < - 5                      -(-4) - 1 > 0
-8 - 1 < -5                              4 - 1 > 0
-9 < -5.....true                        3 > 0....true

solution is (-4,-1)

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Answer:

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Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

          Cost of Matinee tickets= $7

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          Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= (5000-x)

We know, total cost= Price\ of\ each\ ticket \times number\ of\ people

Now, forming an equation to show total spending on tickets.

⇒ \$ 9.50(5000-x)+ \$ 7x= \$ 44000

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

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Adding both side by 2.5x

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subtracting both side by 44000

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Dividing both side by 2.5

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