Use the image to answer the question.

A number line with arrows at both the ends ranges from negative 90 to negative 30 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 33 and on negative 89. A curved arrow is drawn leftward starting from negative 33 to negative 43 and is labeled as negative 10. Four more curved arrows are drawn from negative 43 to negative 53, negative 53 to negative 63, negative 63 to negative 73, and negative 73 to negative 83, all labeled as negative 10. A final curved arrow from negative 83 to negative 89 is labeled as negative 6.

What equation represents the model shown?

1 answer

The model shows a number line ranging from negative 90 to negative 30, with increments of 1 labeled in increments of 10. The closed circle on negative 33 suggests that negative 33 is included in the solution set. The curved arrow labeled negative 10 indicates that the numbers decrease by 10 as we move leftward.

From negative 33, the arrow reaches negative 43. From negative 43, the arrow reaches negative 53. This pattern continues until the arrow reaches negative 83. From negative 83, the arrow reaches negative 89, with a decrease of 6.

Therefore, the equation that represents this model is: x ≤ -33 and x ≥ -89 with x decreasing by 10, except for the last arrow where x decreases by 6.
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