Question

X is an integer.

-3 < x≤ 6
and
-3 ≤ x-4 <1
Work out all the possible values of x.

Answer 1

Answer: The possible values of x are 1, 2, 3, and 4.

Explanation:

From the first inequality -3 < x ≤ 6, we can see that x can take integer values from -2 to 6.

From the second inequality -3 ≤ x-4 < 1, we can add 4 to all sides to get 1 ≤ x < 5.

Combining both inequalities, we can see that the possible values of x are 1, 2, 3, and 4.