Question

Which of the following represents (Picture provided)

Answer 1

b.
`(1,6]`

Explanation:

The given inequality is
`1\:<\:x\le6`.

We use the parenthesis
`()` to represent an open interval < or >.

We use the square brackets
`[]` to represent a closed interval
`\le` or
`\ge`.

`1\:<\:x\le6` represents
`(1,6]`.

The correct choice is B.

Answer 2

B.

Explanation:

You are given the double inequality

`1<x\le 6.`

This means that x is greater than 1 and less than or equal to 6.

Thus, point 1 must be excluded (with bracket "(") and 6 must be included (with bracket "]").

Hence, the correct answer is
`(1,6].`