Set Builder and Interval Notations Inequalities

For all real numbers greater than 6, 6 is not included in the solution. Which of these interval notations is best described in the statement?

• (-∞, 6]

• (-∞, 6)

• (6, ∞)

• [6, ∞)

Using the figure, describe the graph in set-builder notation.

• {x/6 ≤ x ≤ 2}

• {x/2 < x < 6}

• {x/2 ≤ x ≤ 6}

• {x/6 < x < 2}

Given the figure. Which of these set notations is best described of the figure?

• {x/1 < x < 3}

• {x/3 < x ≤ 1}

• {x/3 < x ≤ 1}

• {x/1 ≤ x < 3}

It is a mathematical notation describing a set by listing its elements or demonstrating its properties that its members must satisfy.

• Interval Notation

• Real numbers

• Set-builder Notation

• Inequalities

Look at the graph. Write the inequality in interval notation. (a)  

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

Express the following in Interval Notation
-9 ≤  x < -4

Hint: the '-9' is included in the solution because......≤

But the '-4' is NOT included in the solution because.....<

(a)  

• [-9, -4]

• (-9,-4]

• [-9, -4)

• (-9,-4)

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

Mathematical Equivalence

ON

Given is (-∞, -2), describe the graph.

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Given is [ 3, ∞), describe the graph.

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