Mathematics: Graph the system of inequalities. (x-y or = to 1 (x+2y 4

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Graph the system of inequalities. (x-y or =

Ответ:

bar23cardenine01

13.02.2022

Mathematics

$y\ge \:-1+x,\:y$

The graph is attached below.

Step-by-step explanation:

Given the system of inequalities.

$\begin{bmatrix}x-y\le \:1\\ x+2y$

Isolate y for $x-y\le \:1$

$x-y\le \:1$

subtract x from both sides

$x-y-x\le \:1-x$

simplify

$-y\le \:1-x$

Multiply both sides by -1 (reverse the inequality)

$\left(-y\right)\left(-1\right)\ge \:1\cdot \left(-1\right)-x\left(-1\right)$

simplify

$y\ge \:-1+x$

now solving

x+2y < 4

isolate y for x+2y < 4

x+2y < 4

subtract x from both sides

x+2y-x

simplify

Divide both sides by 2

$\frac{2y}{2}$

Simplify

Graphing Method:

1. Graph each inequality separately

2. Choose a test point to determine which side of the line needs to be shaded

3. The solution to the system will be the area where the shadings from each inequality overlap one another.

Thus,

$y\ge \:-1+x,\:y$

The graph is attached below.

Graph the system of inequalities.
(x-y< or = to 1
(x+2y < 4

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Graph the system of inequalities.

(x-y< or = to 1
(x+2y < 4

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Graph the system of inequalities. ￼(x-y< or = to 1 (x+2y < 4

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Graph the system of inequalities.

(x-y< or = to 1
(x+2y < 4