Radical Inequalities (Jump to: Lecture | Video )

Radical Inequalities

Equations can contain variables under radicands. These are called radical inequalities.

Below we have a radical inequality:

The value under the radical must be positive. First, we set the value of the radical greater than or equal to 0 to determine the minimum value of x:

Figure 1.

Next, we solve for the inequality:

Figure 2.

Any value of x between -3 and 118 is a valid solution to our inequality.

Figure 3.

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