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Maths Exercices

Write compound inequalities from graphs


What compound inequality describes this graph?

Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3 .

Solution:

Remember:

  • When a compound inequality has a graph that looks like a line segment, it can be written with the variable between the values of the endpoints, like 1 < x < 3 .

  • When a compound inequality has a graph that looks like two rays, it can be written as two inequalities joined with or, like x < 1 or x > 3 .

The graph shows two rays, so the compound inequality can be written as two inequalities joined with or. The ray on the left represents x < 7 . The ray on the right represents x = 8

Use or to connect them: x < 7 or x = 8


What compound inequality describes this graph?




4 < x < 8
4 ≤ x ≤ 8
4 ≤ x < 8
4 < x ≤ 8