Step 1 :The question is asking to solve the system of two linear inequalities graphically. The inequalities are \(x<6\) and \(x \geq -4\). To solve this, we need to plot these inequalities on a number line. The first inequality, \(x<6\), means that x can take any value less than 6. The second inequality, \(x \geq -4\), means that x can take any value greater than or equal to -4. The solution to the system of inequalities will be the intersection of the two regions defined by these inequalities.
Step 2 :The Python code has successfully plotted the two inequalities on a number line. The blue region represents the solution set for the first inequality (\(x<6\)) and the red region represents the solution set for the second inequality (\(x \geq -4\)). The purple region, where the blue and red regions overlap, represents the solution set for the system of inequalities. This is the region where x is both less than 6 and greater than or equal to -4.
Step 3 :The solution to the system of inequalities is the set of all x such that \(\boxed{-4 \leq x < 6}\).