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Lapatulllka [165]
3 years ago
10

Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is 2x+3y\le12

Then the corresponding linear equation is 2x+3y=12

When x=0, we have  2*0+3y=12

\implies 3y=12\implies y=4

When y=0, we have  2x+3*0=12

\implies 2x=12\implies x=6

The T-table is:

<u>x   |   y</u>

0   |   4

6   |   12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

2*0+3*0\le12

0\le12....This is true so we shade the lower half plane as shown in the attachment.

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