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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
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B
No
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Solution

The correct option is B No
Let p represent the price of all the food items which is $11 and 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: b4 which can also be written as 4b
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: b10
It can be represented in the number line as:

Combinig both the inequality:
4b10
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, b =$10
The price of all food items, p=$11
As, p>b, they can not order all the food items.

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