Question

Solve the quadratic inequality. Give the answer in interval notation. x^2-7x+16> or equal to 10

Answer 1

rearrange for 0, then factorise

Answer 2

i dont know what interval notation is, but it should give you x is less than or equal to 1, and x is greater than or equal to 6

Answer 3

this transposes to
x^2 - 7x + 6 > 0

first solve the equation x^2 - 7x + 6 = 0 to get the critical points then you can solve it by considering the values of the function in the intervals of the roots or from the graph of the function

Answer 4

you can solve the equation by factoring

Answer 5

\(\bf x^2-7x+16\ge10\implies x^2-7x+16-10\ge0\implies x^2-7x+6\ge 0\\ \quad \\

\textit{quadratic formula}\\
\begin{array}{cccllll}
y=&1x^2&-7x&+6\\
&\uparrow&\uparrow&\ \uparrow\\
&a&b&c
\end{array}\qquad
x= \cfrac{ - b \pm \sqrt { b^2 -4ac}}{2a}\)