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Referring to the figure, write a compound inequality that describes the graph shown:

Referring to the figure, write a compound inequality that describes the graph shown-example-1
User Pravsels
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1 Answer

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x ≤ 1 OR x ≥ 5

Step-by-step explanation:

From the graph, we have 2 seperate arrows. Each indicating an inequality

For the arrow by the left:

The circle is shaded and it starts at 1 and extends towards the negative side of the axis.

Since its direcrion is towards the negative side, the inequality will beless than

The inequality < will have an equal sign attached because of the shaded circle.

x ≤ 1

For the arrow by the right:

Circle is shaded meaning an equal sign will be attached to the inequality

The shaded circle starts at 5 and extends towards the positive axis.

Since it extends towards the right side of x, the inequality will be greater than

x ≥ 5

Combining both inqualities:

we will be using OR to join the two inequalities together as both inequalities represents a union.

x ≤ 1 OR x ≥ 5

Hence, a compound inequality that describes the graph shown:

x ≤ 1 OR x ≥ 5

User ASpex
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