To plot each of the inequalities, make y the subject of the formula:
For ≤ and ≥, solid lines are used
For < and >, dashed lines are used.
Let us consider the inequalities one by one:
For y - 2x ≤ -3
y ≤ 2x - 3.
This means that the line will intersect the y axis on -3 (y - intercept)
For y - 4 ≤ -2x
y ≤ -2x + 4
This means that the line will intersect the y axis on 4(y intercept)
For y > -1/4 x
This means that the line will intersect the y axis on -3 (y intercept)