Question

Describe these points with a double inequality

Answer 1

Answer:

-2<x$\leq$11

Step-by-step explanation:

The line spans from -2 to 11 so we know that those are the values that will be in our expression. -2 has an open circle, therefore, we do not include that value. So any value greater than -2 but not equal to -2 is included. -11 has a closed circle that ends the line segment. This means that any value less than 11 or greater than 11 is included. Therefore the expression would be x is greater than -2 and less than or equal to 11.

Answer 2

  Points on the number will be defined by the inequality → -2 < x ≤ 11.

Symbols to describe an inequality on a number line:

•   A hollow circle describes the value where the hollow circle is  

           located will not be included and the inequality will be denoted by

           (< or >).

•    Solid circle describes the value to be included and denoted by

            (≤ or ≥).

•    Dark line between two numbers denotes the values of 'x'

            between the numbers,

From the number line given in the picture,

Dark line starts with a hollow circle from x = -2

Dark line ends with a dark circle at x = 11.

Inequality for this situation will be → -2 < x ≤ 11

            Therefore, points on the number will be defined by the inequality → -2 < x ≤ 11.

Learn more about the inequality for a number line,

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