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Understanding Inequality Symbols

2.8.1 Understanding Inequality Symbols

2.8.1 • Understanding Inequality Symbols

Warm Up

For questions 1 – 3, match each inequality to the meaning of a symbol within it.

1.

h > 50 h > 50

  1. less than or equal to

  2. greater than

  3. greater than or equal to

greater than

2.

h ≤ 20 h ≤ 20

  1. less than or equal to

  2. greater than

  3. greater than or equal to

less than or equal to

3.

30 ≥ h 30 ≥ h

  1. less than or equal to

  2. greater than

  3. greater than or equal to

greater than or equal to

4.

Is 25 a solution to any of the inequalities? Which one(s)?

Compare your answer:

Yes; 25 is a solution to 30 ≥ h 30 ≥ h because 30 is greater than or equal to 25.

5.

Is 40 a solution to any of the inequalities? Which one(s)?

Compare your answer:

No; 40 is not a solution to any of the inequalities because 40 does not make any of the inequalities true when substituted in for h h .

6.

Is 30 a solution to any of the inequalities? Which one(s)?

Compare your answer:

Yes; 30 is a solution to 30 ≥ h 30 ≥ h .