Question

using the digits -9 to 9, without repeating any numbers, place a digit in each box to create an inequality that has a solution of x > 2.

Answer 1

Start finding 2 numbers that have a difference of 2

$9-7=2$

since the solution has a sign contrary to the original sign, we need to make this difference negative then

$7-9=-2$

in order to have this on the right side of the inequality, we use 9 as a positive integer

$?x+9<7$

then, we make the x negative also in order to switch the sign of the inequality

$\begin{gathered} -x+9<7 \\ -x<7-9 \\ -x<-2 \\ x>2 \end{gathered}$