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Question 4 • Algebra 1

Which graph represents the compound inequality? h is greater than or equal to negative 5 and h is less than 2

Answer

Image with description A number line labeled from negative 6 to 4 in increments of 1 from left to right. An open circle is at negative 5 and a solid circle is at 2 with a line segment connecting them.

Image with description A number line labeled from negative 6 to 4 in increments of 1 from left to right. A solid circle is at negative 5 and an open circle is at 2 with a line segment connecting them.

Image with description A number line labeled from negative 6 to 4 in increments of 1 from left to right. A solid circle is at negative 5 with an arrow pointing to the left. An open circle is at 2 with an arrow pointing to the right.

Image with description A number line labeled from negative 6 to 4 in increments of 1 from left to right. An open circle is at negative 5 with an arrow pointing to the left. A solid circle is at 2 with an arrow pointing to the right.

Explanation

The inequality says h is at least −5 and less than 2, so the solution is −5 ≤ h < 2. The graph includes −5, shown by a solid circle, excludes 2, shown by an open circle, and connects the values between them. That is choice B.

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