Linear Inequations in Two Variables

$\mathrm{X}$ is four years older than $\mathrm{Y}$, who is twice as old as $\mathrm{Z}$. If the sum of ages of $\mathrm{X}$, $\mathrm{Y}$ and $\mathrm{Z}$ is $34$ years, how old is $\mathrm{X}$?

The solution set of the inequation $2x-y\ge 1$ is

Inequation $y-x\le 0$ represents

$2x+y⩾4;$

$x+y⩽3;$

$2x-3y⩽6$

Draw the inequality graph by using above $3$ equations.

Solve the system of inequalities graphically: $x+2y\le 8, 2x+y\le 8, x\ge 0, y\ge 0$

Solve the system of inequalities: $8x+3y\le 100, x\ge 0, y\ge 0$

Solve the system of inequalities graphically: $5x+4y\le 40, x\ge 2, y\ge 3$

Solve the system of linear inequalities graphically: $x+y\ge 5, x-y\le 3$

Solve $y<2$ graphically.

Solve $3x-6\ge 0$ graphically in two dimensional plane.

Solve $3x+2y>6$ graphically.

Graph the solution set $y<2$.

Graph the solution set $2x-5y\ge 10$.

Which of the following is an example of 'linear inequality in two variables' ?

Solve graphically:

$8x+3y\le 100$

$x\ge 0$

$y\ge 0$.

Which of the following is the correct solution region of given linear inequality:

$6x+8y<24$

Which of the following is the correct solution region of given system of linear inequalities :

$x+y\le 6, x-y\le 2, x\le 2, x\ge 0, y\ge 0$

Which of the following is the correct solution region of given system of linear inequalities :

$x+y\le 4, x-y\le 1, x\le 1, x\ge 0, y\ge 0$

Which of the following is the correct solution region of given linear inequality:

$2x+3y<6$

Solve $3x+2y>6$ graphically.