Mathematics, 30.01.2020 03:00, christson805

Which of the following is the solution to the following system of inequalities? let the green region represent the answer region.
x+2y ≤ 4
3x-y ≤ 2

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answered: AWESOMEMIHI

Step-by-step explanation:

One of the two inequalities have been given as x + 2y ≤ 4, which is represented by the region below the red line drawn on graph.

Second inequality is 3x - y ≤ 2, which is represented by the region on the left of the blue line.

Solution region will be the green which is common in both the regions.

Hence all the solutions of the system of inequalities will lie in the green region.

By solving these inequalities we can get the domain and range of the solution region of this system of inequalities.

We multiply x + 2y ≤ 4 by 3 and subtract it by 3x - y ≤ 2

(3x - y) - 3(x + 2y) ≤ 2 -12

3x - y - 3x - 6y ≤ -10

-7y ≤ -10

$y\leq \frac{10}{7}$

Now we put the value of y in (x + 2y) ≤ 4

$x+2(\frac{10}{7})\leq 4$

$x+\frac{20}{7}\leq 4$

$x\leq 4-\frac{20}{7}$

$x\leq \frac{8}{7}$

So the domain and range of the green region will be $x\leq \frac{8}{7}$ and $y\leq \frac{10}{7}$ .

Which of the following is the solution to the following system of inequalities? let the green regio

answered: Guest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

answered: Guest

Where is the diagram

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Which of the following is the solution to the following system of inequalities? let the green regio...