An illustration of a number line with units from 0 to 10 in increments of 1. A line is plotted from a closed dot at 8 to an arrowhead to the left of 0.

what solution does the picture represent?

1 answer

The illustration you described represents the solution to the inequality \( x \leq 8 \).

Here's the breakdown of the elements:

  • The closed dot at 8 indicates that 8 is included in the solution set (meaning \( x \) can equal 8).
  • The arrowhead to the left of 0 signifies that the solution extends indefinitely to the left, encompassing all numbers less than or equal to 8.

Therefore, the solution represented by the number line is all values of \( x \) that are less than or equal to 8.

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