Question

Solve the y system of inequalities by choosing the correct graph.y> 3y< |x-2|

Answer 1

The solution graph of the system of inequalities : y> 3 and y< |x-2| is attached below.

The given inequalities are:

y>3 and y< |x-2|

Now we will solve y< |x-2|

applying absolute value we get

x - 2 < -y or x - 2 > y

Now we will solve the two equations graphically.

Using the graph we can clearly see that the red part represents the inequality y< | x - 2 | while the blue part denotes the inequality y > 3

Hence the solution of the two inequalities will be the region shaded by both the graphs.

Any monotonically increasing function can, by definition , be applied both for sides of just an inequality without distorting their relationship as long as both expressions fall inside the scope of the function. If a monotonically falling function are applied to both sides of an inequality, the inequality relation might be reversed.

To learn more about inequality  visit:

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