Question

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


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Answer 1

- 2, - 1, 0, 1

Explanation:

Consider the integers that satisfy each inequality

- 3 < x < 2

solutions are x = - 2, - 1, 0, 1

- 2 ≤ x ≤ 2

solutions are x = - 2, - 1, 0, 1, 2

Thus the integer values that satisfy both are common to both, that is

x = - 2, - 1, 0, 1