Question

The area of a square is numerically less than six times it's side . list some square in which this happens .

Answer 1

let x be the side of required square.
ATQ
${x}^{2} < 6x \\ {x}^{2} - 6x < 0 \\ x(x - 6) < 0 \\ x < 0 \: and \: x - 6 > 0 \: \: \: \: or \: \: \: \: \: x > 0 \: \: andx - 6 < 0 \\ x < 0 \: \: \: \: x > 6\: \: \: \: or \: \: \: \: \: \: x > 0 \: \: \: \: \: x < 6 \\ = > not \: possible \: \: \: \: \: \: \: \: \: or \: \: \: \: 0 < x < 6$


for all values of x ••• 0<x<6 the area of the square is less than 6 times the side