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

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) First,consider the corresponding equation $3x - 6 = 0$,which simplifies to $x = 2$.
Draw the line $x = 2$ in the Cartesian plane. Since the inequality is $\geq$,the line $x = 2$ is included in the solution region (represented by a solid line).
To determine the solution region,test a point not on the line,such as $(0, 0)$.
Substituting $(0, 0)$ into the inequality $3x - 6 \geq 0$ gives $3(0) - 6 \geq 0$,which simplifies to $-6 \geq 0$.
Since $-6 \geq 0$ is false,the origin $(0, 0)$ does not lie in the solution region.
Therefore,the solution region is the half-plane to the right of the line $x = 2$,including the line itself.

Explore More

Similar Questions

Solve the given inequality graphically in a two-dimensional plane: $-3x + 2y \geq -6$.

Solve $3x + 2y > 6$ graphically.

Solve the following inequality graphically in a two-dimensional plane: $2x + y > 3$.

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

The shaded region given in the figure represents the $\ldots \ldots \ldots$ inequality.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo