Question

Sophia has to get at least 4 marks out of 10 on her maths test to pass. In the test, one mark is awarded for one correct answer and there is not provision of negative marking. Assuming Sophia fails her test, select the number line representation of the inequality that depicts her marks.

• A.
• B.

Answer 1

The correct option is B

Sophia will pass if she scores 4 or more marks.
$\Rightarrow$ Sophia will fail the exam if she score less than 4 marks.

Assuming that Sophia fails the exam, mathematical expression of the above statement is

$\text{Sopia's marks}\left(S\right)<4$
$\Rightarrow S<4$

This is the only inequality that represents the number less than 4 excluding 4 itself.

We know that one mark is awarded for one correct answer and there is no negative marking.
$\text{Sopia's marks}\left(S\right)\ge 0$
$\Rightarrow S\ge 0$

Hence, the possible marks that Sophia could get are $0,1,2\text{or}3.$ This is represented in the number line as closed circle at the discrete points.