Solve the following inequalities graphically in two-dimensional plane x > -3.
Solve the following inequalities graphically in two-dimensional plane x > -3.
We draw the graph of the equation x = -3.
Clearly it is a line parallel to v-axis at a distance of 3 units on the left of it.
The line x = -3 divides the xy-plane into two regions - one on the right side and the other on the left side.
Consider the point 0(0, 0).
We find that (0, 0) satisfy the inequality x > -3 because 0 > -3, which is true.
So, the region represented by the given inequality is the region containing the origin as shown in the Figure, by the shaded region excluding all the points on the line.
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