Graphing Square Root Inequalities

Graphing Square Root Inequalities

How to graph square root inequalities: examples and their solutions.

Example 1

Graph the given inequality. y > - square root x + 2

Find the starting point of the graph: (0, 2).

Starting from (0, 2),
draw y = -√x
using a dashed line.

Graphing square root functions

y is greater than the right side.
So color the upper region of the dashed line.

Example 2

Graph the given inequality. y <= square root (x + 4)

Find the starting point of the graph: (-4, 0).

Starting from (-4, 0),
draw y = -√x
using a solid line.

Graphing square root functions

y is lesser than (or equal to) the right side.
So color the lower region of the solid line.