Inequalities in One Variable — Quiz

Question 5 • Integrated Math II CR SUSD (EX)

The solution to an inequality is given in interval notation as open paren 2 comma infinity close paren What is another way to represent this solution set?

Answer

Image with description A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and negative 5.

Image with description A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and positive 5.

Image with description A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and positive 5.

Image with description A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and negative 5.

Explanation

The interval (2, ∞) includes all numbers greater than 2, but not 2 itself. So its number-line representation has an open circle at 2 and shading to the right. Choice C shows that direction, extending from 2 toward positive numbers.

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