Maths Solve the Following Question.(3 Marks)

i.e. $y=\frac{-3}{5}$

This represents a line parallel to $X$-axis passing through the point $\left(0, \frac{-3}{5}\right)$

Draw the line $y=\frac{-3}{5}$.

To find the solution set, we have to check the position of the origin (0, 0). When y = 0, 5y + 3 = 5 × 0 + 3 = 3 ≰ 0 ∴ the coordinates of the origin does not satisfy the given inequality.

$\therefore$ the solution set consists of the line $y=\frac{-3}{5}$ and the non-origin side of the line which is

shaded in the graph.

i.e. $x=-\frac{4}{3}$

This represents a line parallel to $Y$-axis passing through the point $\left(-\frac{4}{3}, 0\right)$.

Draw the line $x=-\frac{4}{3}$.

To find the solution set, we have to check the position of the origin (0, 0). When x = 0, 3x + 4 = 3 × 0 + 4= 4 ≰ 0 ∴ the coordinates of the origin does not satisfy the given inequality.

$\therefore$ the solution set consists of the line $x=-\frac{4}{3}$ and the non-origin side of the line which is

shaded in the graph.

This represents a line parallel to $X$-axis passing through the point $\left(0, \frac{5}{2}\right)$.

Draw the line $y=\frac{5}{2}$.

To find the solution set, we have to check the position of the origin (0, 0). When y = 0, 2y – 5 = 2 × 0 – 5 = -5 ≱ 0 ∴ the coordinates of the origin does not satisfy the given inequality.

$\therefore$ the solution set consists of the line $y=\frac{5}{2}$ and the non-origin side of the line which is

shaded in the graph.

i.e. $x=\frac{3}{2}$

This represents a line parallel to $Y$-axis passing through the point $\left(\frac{3}{2}, 0\right)$

Draw the line $x=\frac{3}{2}$.

To find the solution set, we have to check the position of the origin (0, 0). When x = 0, 2x – 3 = 2 × 0 – 3 = -3 ≱ 0 ∴ the coordinates of the origin does not satisfy the given inequality.

$\therefore$ the solution set consists of the line $x=\frac{3}{2}$ and the non-origin side of the line which is

shaded in the graph.