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vladimir2022 [97]
3 years ago
10

What graph represents the inequality y≥2−2x?

Mathematics
2 answers:
babunello [35]3 years ago
7 0

y\geq2-2x\\\\\text{Let's the line}\ y=2-2x\\\\for\ x=0\to y=2-2(0)=2\to(0,\ 2)\\for\ x=1\to y=2-2(1)=0\to(1,\ 0)

\text{draw a line and shade above the line}\\\\\text{Look at the picture}

Anastaziya [24]3 years ago
5 0

Answer:

Graph is attached below

Step-by-step explanation:

To graph the given inequality , replace the inequality sign by = sign

y≥2−2x

y=2−2x

Now make a table , assume some random number for x and find out y

x         y=2-2x

0          2

1           0

2          -2

Now graph all the points (0,2) (1,0) (2,-2)

Now we do shading. For shading use test point (0,0)

plug in 0 for x and 0 for y

y\geq 2-2x

0\geq 2-2(0)

0\geq 2 is false

So shade the region that does not contain (0,0)

The graph is attached below

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  • Quadrant 2: Points E and H
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<h3>How to determine the quadrants?</h3>

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E(-4,1)     G(-3,-2)   I(0, 2)

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Next, we plot each coordinate on a graph (see attachment)

From the attached graph, we have the following categories

Quadrant 1: Points A and D

Quadrant 2: Points E and H

Quadrant 3: Points G and J

Quadrant 4: Points C

x-axis: Point F

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