ANSWER
[tex]6[/tex]EXPLANATION
We want to find the greatest number which will make the inequality below true:
[tex]2+\lvert\square\rvert<9_{}[/tex]Let the missing number be x, so we have:
[tex]2+x<9[/tex]We have to solve the inequality:
[tex]\begin{gathered} x<9-2 \\ x<7 \end{gathered}[/tex]This means that the number must be less than 7.
The greatest number less than 7 is 6.
The answer is 6.
