Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.

The complete question is:

The graph below shows the solution to which system of inequalities?

A.) y>x , y ≥ (8/10)x

B.) y>-x, y ≤ (8/10)x

C.) y>-x, y < (8/10)x

D.) y>x, y > (8/10)x

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.

The inequality for the first graph can be written as,

$y < \dfrac{8}{10}x$

The inequality for the second graph will be,

y>-x

Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.

Learn more about Inequality:

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4 0

2 years ago

I think it’s either B or D. Please help

Mrrafil [7]

Answer: D

Explanation: The function is an absolute value function with vertex at (-9,0). The slope of the part with x value greater than -9 is positive, and the slope of the part with x value less than -9 is negative.

3 0

3 years ago

Read 2 more answers

A stock market analyst examined the prospects of the shares of a large number of corporations. When the performance of these sto

choli [55]

Answer:

Solution:Bayes:E1: Stock performs much better than the market averageE2: Stock performs same as the market averageE3: Stock performs worse than the market averageA: Stock is rated a ‘Good Buy’Given thatP(E1) = .25,P(E2) = .5,P(E3) = .25,P(A| E1) = .4,P(A| E2) = .2,P(A| E3) = .1Then,

P A EP EP EAP A EP EP A EP EP A EP E=++=(.40)(.25).444(.4)(.25)(.2)(.5)(.1)(.25)

8 0

3 years ago

I need help with this stuff and i need the answers step by step thank you!!

abruzzese [7]

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

= 10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4, so divide the whole fraction by 7 to see if the fraction is proportional...

28/7 = 4

49/7 = 7

$\frac{4}{7} =\frac{4}{7}$