Question

*What are integer values of x which satisfy the inequalities, x > -2 and x < 2*

1️⃣ 1, 2, 3, 4
2️⃣ -1, 0, 1
3️⃣ -1, 0, 1, 2, 3
4️⃣ None of these​

Answer 1

Answer:

2) -1, 0, 1 are the integer values of x which satisfies both the inequities.

Answer 2

Given :  Inequalities, x > -2 and x < 2

To Find :  integer values of x which satisfy the inequalities

1️⃣ 1, 2, 3, 4

2️⃣ -1, 0, 1

3️⃣ -1, 0, 1, 2, 3

4️⃣ None of these​

Solution:

Inequalities, x > -2

=> x ∈ { - 1 ,  0 , 1 , 2 , 3 , 4 ________}

Inequalities, x  < 2

=> x ∈ { ______., -3 ,  -2 , - 1 ,  0 ,  1}

Common in both are

- 1 ,  0 ,  1

Hence  integer values of x which satisfy the inequalities, x > -2 and x < 2

are - 1 ,  0 ,  1

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