Inequalities can be represented on a graph. The inequality is shown by the line of the inequality, and a shaded area. The line of the inequality is shown in one of two ways:

• a solid line indicates that the line is included in the inequality: it is either ≤ or ≥;

• a dotted line indicates that the line is not included: it is either > or < .

Shade, on a graph, the inequality described by `-3 < y ≤ 2`.

Note that the line *y* = 2 is a solid line (≤), and that *y* = -3 is a dotted line

Answer:

What inequality does the graph, represented by the shading and the line, describe?

Write the inequality using set notation.

The shaded area is less than 2: because the line is dotted, the value of *y* = 2 is not included.

Answer: `{y: y < 2}`

See also Using Graphs to Solve Equations

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