Question

Write a system of linear inequalities represented by the graph.

inequality 1:
Inequality 2:
​

Answer 1

The inequalities that are represented by the given graph are:

y < -x + 2

x < 3

How to interpret the system of linear inequalities?

Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region. For example, this graph shows the inequality .

Thus;

Slope of the slanting line is:

(2, 0) and (0, 2)

Slope = (2 - 0)/(0 - 2)

Slope = -1

Thus the inequality is:

y < -x + 2

For the vertical line, the inequality is:

x < 3