Question

Name a possible value for w that is a solution to w > 30, but is not a solution to w < 70.

Answer 1

Answer:  w = 100

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Explanation:

This value of w is larger than 30, so it makes w > 30 true.

At the same time, this value of w is not smaller than 70, so it makes w < 70 false.

If a value of w makes an inequality true, then we consider it a solution.

Put another way: if w = 100, then w > 30 becomes 100 > 30 which is true while w < 70 becomes 100 < 70 which is false.

You can pick any value you want for the answer as long as it's 70 or larger. We can pick w = 70 because w < 70 becomes 70 < 70 which is false. A number cannot be smaller than itself.

In terms of the graph, you can pick any value that is to the right of 70 or at the location of 70.