Question

The solution set for the linear inequation -8 ≤ x – 7 < - 4, x∈ is:​

Answer 1

Answer:

-1 ≤ x < 3

Step-by-step explanation:

the solution is at the picture

Answer 2

SOLUTION

COMPLETE QUESTION

The solution set for the linear inequation

- 8 ≤ x – 7 < - 4 , x ∈ I

EVALUATION

Here the given inequation is

- 8 ≤ x – 7 < - 4

We solve it as below

$\sf{ - 8 \leqslant x - 7 < - 4}$

$\sf{ \implies - 8 + 7 \leqslant x - 7 + 7 < - 4 + 7}$

$\sf{ \implies - 1 \leqslant x < 3}$

Since x ∈ I where I is the set of integers

So values of x are - 1 , 0 , 1 , 2

Hence the required solution set

S = { - 1 , 0 , 1 , 2 }

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