Question

Which of the following represents (Picture provided)

Answer 1

Answer:

B.

Step-by-step 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 $(1,6].$

Answer 2

Answer:

b. $(1,6]$

Step-by-step 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.