Prove that if `xlt3` and `ygt7`, then `|x-y|>4`

Prove that if 1ltxlt4 and 1ltylt4 , then |x-y|lt3

Let a and b be the intercepts made by a line on the x-axes and y-axes respectively.If the area of the triangle formed by the coordinate axis and the line is 6 square units and length of the hypotenuse is 5 units. Prove that the equation of the line is 3x + 4y = 12 or 3x + 4y = -12 or 4x + 3y = 12 or - 4x - 3y = 12

What is the equation of the line joining the points '(1,3),(2,7) ?' Prove that if '(x, y)' is a point on this line, so is the point '(x+1, y+4)'

Which of the following statements are true and which are false?Give valid reason for saying so. If x and y are integers such that xgty , then -xlt-y

Prove that 2x + 3y - 6 =0 and 4x + 6y + 1 = 0 are parallel

Consider the system of equations 2x-3y=7 and 3x+4y=5 Solve the system of equations.

Consider a triangle whose sides are along x+y = 2, 3x-4y = 6 and x-y = 0 .Prove that the triangle is right angled

Consider the system of equations 2x-3y=7 and 3x+4y=5 Express the system in AX=B form.

Prove that 2x + 3y - 6 =0 and 3x - 2y - 1 = 0 are perpendicular

Which of the given values of x and y make the following pair of matrices equal [[3x+7, 5],[y+1, 2-3x]], [[0, y-2],[8, 4]]