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(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: $4x - y > 0$.

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