Solve `(3x-4)/(2) ge (x+1)/(4) -1`. Show the graph of the solutions on number line.

Solve 7x+3 lt 5x+9 . Show the graph of the solutions on number line.

Solve: 3x^(2) - 4x + 20/3=0

3(2-x)ge2(1-x)

Solve the equation 2x+1=x-3 , and represent the solution(s) on (i) the number line , (ii) the Cartesian plane.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect. Find also the point of intersection of these lines.

((2x-1))/(3) ge ((3x-2))/( 4) - ((2-x))/(5)

(1)/(2) ((3x)/( 5) +4) ge (1)/(3) (x-6)

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Also, find their point of intersection, Hint for solution : If shortest distance between two lines is zero then they are intersecting lines.

The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)|+|((1+x)^2,2x+1,x+1),((1-x)^2,3x,2x),(1-2x,3x-2,2x-3)|=0 has has (a) no real solution (b) 4 real solutions (c) two real and two non-real solutions (d) infinite number of solutions, real or non-real

The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane 2x - y + z + 3 = 0 is the line ..............