Question

Which value of r is not in the solution to the compound inequality below? -15 < 2x – 9 < 5

Answer 1

We have the following:

$-15<2x-9<5$

solving:

$\begin{gathered} -15+9<2d-9+9<5+9 \\ -\frac{6}{2}<\frac{2}{2}x<\frac{14}{2} \\ -3The solution is within the interval (-3, 7)

which means that the following intervals are not a solution

[tex](-\infty,-3),(7,\infty)$