What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Given:

The inequalities are:

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

For , the possible integer values are

         ...(i)

For , the possible integer values are

       ...(ii)

The common values of x in (i) and (ii) are

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.