Question

Solve x - 2.6 Greater-than-or-equal-to 9.4 and graph the solution on the number line. Which statements are true? Check all that apply.
A. x Greater-than-or-equal-to 12
B. x Greater-than-or-equal-to 6.8
C. A closed circle is used on the graph.
D. An open circle is used on the graph.
E. The arrow on the graph points left.
F. The arrow on the graph points right.

Answer 1

The true statements about the inequality x - 2.6 Greater-than-or-equal-to 9.4 are

• A. x Greater-than-or-equal-to 12
• C. A closed circle is used on the graph.
• F. The arrow on the graph points right.

How to determine the true statement?

The statement is given as:

x - 2.6 Greater-than-or-equal-to 9.4

Rewrite as:

x - 2.6 ≥ 9.4

Add 2.6 to both sides

x  ≥ 12

The inequality symbol ≥ means that:

• A closed circle is used on the graph.
• The arrow on the graph points right.

Hence, the true statements about the inequality are (a), (c) and (f)

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