Question

If-9 < x≤ 6 then |x| €



answer this ​

Answer 1

-9 < x <=6

take first inequality :

x > -9

so, 0< |x| < 9

Second inequality :

x <= 6

so, 0 <=|x| <= 6

Common :

0< |x| < 9

Answered by GauthMath.

Answer 2

If -9 < x ≤ 6, then |x| ∈ [0, 9).

Given: -9 < x ≤ 6

To find: |x| ∈?

Solution:

We know that,

-9 < x ≤ 6

⇒ x > -9 and x ≤ 6

⇒ |x| ∈ [0, 9) and |x| ∈ [0, 6)

Taking common interval from the 2, we get

⇒ x ∈ [0, 9) Answer

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