Question

Eva saves her pocket money to buy clothes that cost at least $\$15$ but not more than $\$20$. Which number line indicates this situation?
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Let $\text{p}$ represents the pocket money.

Given, $p$ is atleast 15 and not more than 20.

Step 1: $p$ is atleast 15.
Hence, $p$ can have any value which is greater than or equal to $15$.

The above statement is mathemtical representated as: $p\ge 15$ which can also be written as $15\le p$

It can be represented in the number line as:

Step 2: $p$ is not more than 20.
Hence, $p$ can have any value which is less than or equal to $20$.

The above statement is mathemtical representated as: $p\le 20$

It can be represented in the number line as:

Combinig both the inequality:
$15\le p\le 20$
Hence p has the values in between 15 and 20
It can be represented in the number line as: