Question 1185972
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x = number of points needed


Tom has 181 points already. He needs x more points to get a total of 181+x or x+181. This total must be 207 or more. That leads us to this inequality
{{{x+181 >= 207}}}


We solve for x by undoing the addition operation. So we will subtract 181 from both sides


{{{x+181 >= 207}}}


{{{x+181-181 >= 207-181}}}


{{{x >= 26}}}


The smallest x can be is x = 26. Therefore, the least number of points Tom needs is 26


Note that x+181 = 26+181 = 207


The graph on a number line will have us plot a closed circle at 26, then we shade to the right. This represents the set of all numbers that are 26 or larger.


Graph:
<img width="50%" src = "https://i.imgur.com/NHg4QSn.png">
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