6. Relations
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Construct a table to check if the equation is true or false for each of the values from the replacement set.
{13}
We want to verify if any values contained in the replacement set are solutions of this equation. We will replace the variable with each value from the set and check if the equation is true for any of them.
| n | n+10=23 | Simplify | True or False? |
|---|---|---|---|
| 11 | 11+10? =23 | 21≠23 | False |
| 12 | 12+10? =23 | 22≠23 | False |
| 13 | 13+10? =23 | 23= 23 | True |
| 14 | 14+10? =23 | 24 ≠23 | False |
| 15 | 15+10? =23 | 25≠23 | False |
Since the equation is true when n=13, the solution set is {13}.