Solve the inequation :
`3z - 5 le z + 3 le 5z - 9, z in R`.

Solve the inequation: |x|le5

Solve the inequation 5x - 5 le - 5 If (i) x in z (ii) x in R and represent the solution on the number line

Solve the equation . z/(z + 15) = 4/9

Solve the equation z^3= z (z!=0)dot

Simplify and solve the linear equations. 3(5 z - 7) - 2 ( 9 z - 11 ) = 4 (8 z - 13) - 17

The number of integral solutions of the inequation x+y+z le 100, (x ge 2, y ge 3, z ge 4) , is

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : Minimum of |Z_(1)-Z_(2)| given that Z_(1) , Z_(2) are any two complex numbers lying in the region R is

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : The maximum value of |Z| for any Z in R is

The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y le 2pi , o le z le 2pi , has

Using matrices, solve the following system of linear equations: x - y+2z=7 ; 3x+4y- 5z=-5 ; 2x - y+3z=12