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Tju [1.3M]
3 years ago
10

4x + y< 2

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

The two inequalities can be rewritten as

\begin{cases}y-2\end{cases}

The solution is composed by every point below the graph of the line y=-4x+2, and above the horizontal line y=-2

To draw the line y=-4x+2 we can build a little table (only 2 points are required):

\begin{array}{c|c}x&y\\0&2\\1&-2\end{array}

So, if you draw the points (0,2) and (1, -2) and connect them, you'll have your line.

To draw the line y=-2, simply pick any point with y coordinate -2, for example (0, -2), and draw a horizontal line.

Choose the above/below areas as specified above to solve the system.

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