When graphing inequalities, where can the solutions be found?

a.)there are no solutions to inequalities
c.)where the shading overlaps
b.)outside the shaded portion
d.)below the shaded portion

Option: c is the correct answer.

c.)  where the shading overlaps.

Step-by-step explanation:

When we graph a system of inequalities.

Then the solution always lie in the feasible region.

( i.e. the region that is obtained by taking the common region of all the system of inequalities i..e the portion of the region where the shading overlap of all the system of inequalities )

for example:

If we consider a system of inequalities as:

x+y≥2

and 2x+3y≤6

with non-negative constraints as:

x≥0

and y≥0

Then the solution of these inequalities could be found in the triangle:

Δ ACB

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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