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Write an inequality that represents the graph below

please help!!!!

Write an inequality that represents the graph below please help!!!!-example-1
User Jeffrey Aguilera
by
2.6k points

1 Answer

17 votes
17 votes

Answer:

x < 0

Explanation:

You want an inequality that represents the number line graph with an open circle at 0 and shading to the left.

End point

The end point of an interval on a number line graph is indicated by either an open circle or a filled circle (dot). The circle is open if that end point is not included in the set being graphed. If the end point is included, then the circle is filled to become a solid dot.

The circle at x=0 on this graph is an open circle, so x=0 is not part of the solution set.

Shading

The shading on the number line indicates the values that are included in the solution set. Here, shading is to the left of x=0, so includes all values less than 0. This is written as the inequality ...

x < 0

__

Additional comment

If you write number-line intervals using the left-pointing symbols < or ≤, then the location of x relative to the symbol is the same as the location of the shading relative to the end point.

Here, shading is to the left of 0, so we can write the inequality ...

x < 0

where x is to the left of 0 in the inequality expression. (As we said above, we use < for the open circle. ≤ is used for a filled dot.)

User Same
by
3.6k points
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