SOLUTION: Tom has scored 181 points so far this basketball season. He needs to score 207 points to tie the school record for most points scored in a season. Let x represent the number of poi

Algebra ->  Graphs -> SOLUTION: Tom has scored 181 points so far this basketball season. He needs to score 207 points to tie the school record for most points scored in a season. Let x represent the number of poi      Log On


   



Question 1185972: Tom has scored 181 points so far this basketball season. He needs to score 207 points to tie the school record for most points scored in a season. Let x represent the number of points Tom needs to score to tie or beat the record. Write and graph an inequality for x. What is the least number of points Tomhas to score to beat the record?
Answer by math_tutor2020(3817) About Me  (Show Source):
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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%2B181+%3E=+207

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

x%2B181+%3E=+207

x%2B181-181+%3E=+207-181

x+%3E=+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: