Solve the following inequality graphically in | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Step $1$: Consider the corresponding equation $4x - y = 0$,which simplifies to $y = 4x$.Step $2$: Draw the line $y = 4x$ as a dashed line because

Vedclass · Accepted Answer

The region below the line $y = 4x$ (excluding the line).

Vedclass · Answer

(B) Step $1$: Consider the corresponding equation $4x - y = 0$,which simplifies to $y = 4x$.Step $2$: Draw the line $y = 4x$ as a dashed line because the inequality is strict $(>)$.Step $3$: Test a point not on the line,such as $(1, 0)$.Step $4$: Substitute $(1, 0)$ into the inequality: $4(1) - 0 = 4 > 0$. This is true.Step $5$: Since the point $(1, 0)$ satisfies the inequality,the solution region is the half-plane containing $(1, 0)$,which is the region below the line $y = 4x$.

Solve the following inequality graphically in a two-dimensional plane: $4x - y > 0$.

Similar Questions

Solve $\frac{3x-4}{2} \geq \frac{x+1}{4}-1$. Show the graph of the solutions on a number line.

Solve the given inequality for real $x: 3(2-x) \geq 2(1-x)$

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

Out of the following points,how many points satisfy the inequality $2x - 3y > -5$?
$(1, 1), (-1, 1), (1, -1), (-1, -1), (-2, 1), (2, -1), (-1, 2)$ and $(-2, -1)$

Solve $3x + 8 > 2$,when $x$ is a real number.

Vedclass Test Series

Exam Paper Generator

Online Exam Module