Question

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
E
K
B
D

Answer 1

Point B is a solution to the system of inequalities  

Further explanation  

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates  

General formula  

$\large{\boxed{\bold{y-y_1=m(x-x_1)}}$

or  

y = mx + c  

Where  

m = straight-line gradient which is the slope of the line  

x1, y1 = the Cartesian coordinate that is crossed by the line  

c = constant  

The formula for a gradient (m) between 2 points    

$\large{\boxed{\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}}$

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:  

ax + by = c

It says inequality if there are symbol forms like <, >, ≤ or ≥  

Whereas linear inequality can have forms:  

ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c  

In graphical form, line inequality can be  

• dashed line because y does not include equals to  

• a solid line because y includes equal to  

For line inequality (positive coefficient y)  

ax + by ≥ c then the solution is shaded upwards  

ax + by ≤ c then the solution is shaded down  

(Picture attached)

The line :

$\displaystyle y>-2x+10$

intersect x-axis at point : 5,0

Intersect y-axis at point : 0,10

And the solution  is shaded upwards  

$\displaystyle y=\frac{1}{2}x-2$

intersect x-axis at point : 4,0

Intersect y-axis at point : 0,-2

And the solution  is shaded upwards  

And the point located in the shaded plane of the two inequality is point B and I

Learn more

Linear inequality represented by the graph

brainly.com/question/9909671

Keywords: linear inequality,graph

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