QuestionProve $x^{2}-x+2 \geq \frac{7}{4}$ for all values of $x$.

Studdy Solution
Now that we have found the minimum value of the expression $x^{2} - x +2$ to be $\frac{7}{4}$, we assert that the given expression $x^{2} - x +2$ is never less than $\frac{7}{4}$, proving our statement.
Therefore, $x^{2} - x +2$ can never be less than $\frac{7}{4}$.