Answer:
We have the equation

we leave the terms with x on the left side of the equation and the independent terms on the right side.

resolving for x we have that

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when 
Then, for
the equation hasn't solution
The inequality that represents the graph in the box is

Given :
The graph of the linear inequality
Lets pick two points from the graph to frame the linear equation
Slope intercept form of the equation is

Where m is the slope and b is the y intercept
y intercept is (0,6) from the graph
so b=6
Now we find out slope m using formula
Pick two points (0,6) and (2,0)

m=-3
So the equation is 
Now we check the inequality sign by testing any point on shaded area
lets pick (4,0)
lets plug in 4 for x and 0 for y

The inequality for the given graph is

we cannot use >= sign because we have dotted lines
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The probability would be 1/4 for hearts 1/13 for the number card I think this is right sorry if it’s not