Question

can somebody please help my with this question​

Answer 1

Answer:

All the possible values of $a-b$ lies in the interval $3<a<4$.

Step-by-step explanation:

As the range of $a$ is

$3<a<4$

As the range of $b$ is

$4<b<5$

As $a$ contains the set of number between 3 to 4, and $b$ contains the values of from 4 to 5.

$a-b$ can be obtained by subtracting the values of $b$ from $a$.

So,

$a-b$

⇒ $(3<a<4)-(4<b<5)$

⇒ $3<a<4$

Therefore, all the possible values of $a-b$ lies in the interval $3<a<4$.

Keywords: number, value, interval

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