Answer:
0
Step-by-step explanation:
To find the number of integer solutions there are to the inequality, we need to separate [tex]x[/tex] so it is on its own.
[tex]17<5x-8 < 22[/tex] (given inequality)
[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )
[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )
Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].
Hope this helps :)
