The graph of the inequality y > 4x - 3 , 3y - x ≤ 9 . is shown below.
In the question ,
the inequalities are given ,
we have to graph given inequalities ,
the inequalities are y > 4x - 3
3y - x ≤ 9 .
in the first inequality , y > 4x - 3
we put x = 0 , y is = -3 .
we put y = 0 , x is = 3/4 .
So ,the points for the line will be (0,-3) and (3/4,0) .
since the inequality does not have equal to sign , the line will be a dotted line .
in the second inequality ,3y - x ≤ 9 .
we put x = 0 , y is = 3 .
we put y = 0 , x is = -9 .
the points for the line will be (0,3) and (-9,0).
Since the inequality has equal to sign . Thus, line will be solid line .
Therefore , the for the given inequality is shown below.
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