Given:
The inequalities are:
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
For [tex]-2<x<3[/tex], the possible integer values are
[tex]x=-1,0,1,2[/tex] ...(i)
For [tex]-2\leq x<2[/tex], the possible integer values are
[tex]x=-2,-1,0,1[/tex] ...(ii)
The common values of x in (i) and (ii) are
[tex]x=-1,0,1[/tex]
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
