Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.

A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

Step-by-step explanation:

The given compound inequality is

or

We need to find the description of the graph of the compound inequality.

Solve each inequality.

Add 3 on both sides.

The value of x is less that -6. Since -6 is not included in the solution set, therefore there is an open bracket at -6.

Subtract 5 from both sides.

The value of x is greater than of equal to 5. Since 5 is included in the solution set, therefore there is a closed bracket at 5.

The solution of given compound inequality.

A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

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