Question

Robert and his friends went to a restaurant. Their budget is at least $\$4$ and not more than $\$10$. The food they chose was $\$11$. Can they order all the food items of their choice?.

• A. Yes
• B. No

Answer 1

The correct option is B No

Let $\text{p}$ represent the price of all the food items which is $\$11$ and $\text{b}$ represent the budget.

Given, $b$ is atleast 4 and not more than 10.

Step 1: $b$ is atleast 4.
Hence, $b$ can have any value which is greater than or equal to $4$.
The above statement is mathemtical representated as: $b\ge 4$ which can also be written as $4\le b$
It can be represented in the number line as:

Step 2: $b$ is not more than 10.
Hence, $b$ can have any value which is less than or equal to $10$.
The above statement is mathemtical representated as: $b\le 10$
It can be represented in the number line as:

Combinig both the inequality:
$4\le b\le 10$
It can be represented in the number line as:

If price of food items is less than or equal to their budget, they can order all the food items.
The budget, $\text{b}$ $=\$10$
The price of all food items, $\text{p}=\$11$
As, $\text{p}>\text{b}$, they can not order all the food items.