Question

The minimum speed with which any vehicle can travel on the road is 20 kmph and the maximum speed limit is 60 kmph. Express this relation in the form of an inequality if the speed of the vehicle is represented by S.

• A. $20<S\le 60$
  
• B. $20<S<60$
  
• C. $20\le S\le 60$
  
• D. $20\le S<60$
  

Answer 1

The correct option is A $20<S\le 60$


Given, $S$ represent the speed of vehicle crossing that road.

Step 1 : The minimum speed with which any vehicle can cross that road is more than 20 kmph
The above statement can be represented Mathematically as:
$\to 20<S$

Step 2 : Also, The maximum limit with which vehicle can travel on that road is 60kmph.
The above statement can be represented Mathematically as :
$\to S\le 60$
Both the inequalities are written as:
$\to 20<S\text{and}S\le 60$
Combining both the inequalities:
$\to 20<S\le 60$

Hence, the speed of the car is more than 20 kmph, but less than or equal to 60 kmph