Question

Write the following as an inequality.

Answer 1

Answer:

  -2 < w ≤ 6

Step-by-step explanation:

The inequalities you're asked to combine are ...

  -2 < w

  6 ≥ w

Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...

  -2 < w

  w ≤ 6

You combine these by putting w in the middle:

  -2 < w ≤ 6

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Alternate solution

I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...

  6 ≥ w > -2