Why is there an less than "equal to " sign in the highlighted equation?
Q26: A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second?
[Hint: If x is the length of the shortest board, then x, (x 3) and 2x are the lengths of the second and third piece, respectively. Thus, x = (x 3) 2x ≤ 91 and 2x > (x 3) 5]
Dear student,
Since, the maximum length of the board is 91 cm. So the sum of length of all the pieces of the board should be less than or equal to 91 cm. So, the "less than or equal to" symbol is used in the highlighted equation.
Regards.
Since, the maximum length of the board is 91 cm. So the sum of length of all the pieces of the board should be less than or equal to 91 cm. So, the "less than or equal to" symbol is used in the highlighted equation.
Regards.