Show All Notes Hide All Notes

Section 2.1 : Solutions and Solution Sets

For each of the following determine if the given number is a solution to the given equation or inequality.

1. Is \(x = 6\) a solution to \(2x - 5 = 3\left( {1 - x} \right) + 22\)? Solution
2. Is \(t = 7\) a solution to \({t^2} + 3t - 10 = 4 + 8t\)? Solution
3. Is \(t = - 3\) a solution to \({t^2} + 3t - 10 = 4 + 8t\)? Solution
4. Is \(w = - 2\) a solution to \(\displaystyle \frac{{{w^2} + 8w + 12}}{{w + 2}} = 0\)? Solution
5. Is \(z = 4\) a solution to \(6z - {z^2} \ge {z^2} + 3\)? Solution
6. Is \(y = 0\) a solution to \(2\left( {y + 7} \right) - 1 < 4\left( {y + 1} \right) + 3\left( {4y + 10} \right)\)? Solution
7. Is \(x = 1\) a solution to \({\left( {x + 1} \right)^2} > 3x + 1\)? Solution