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In $12-17,$ use a graph to find the solution set of each inequality.$$x^{2}-2 x+1 < 0$$

There is no real number solution to the given inequality.

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 5

Polynomial Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

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In mathematics, the absolu…

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In $12-17,$ use a graph to…

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06:29

Solve each inequality. Wri…

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Solve each inequality, and…

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Solve each inequality, gra…

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Solve each compound inequa…

All right. So for this exercise, we are given the inequality X squared minus X minus two is greater than zero. And we are asked to use a graft to find the solution. Set this inequality. So I have the graft generated already right here and now what we need to do is observe the graph and determine which X values create a functional output that is greater than zero. So if we were to plug in zero into our function, we would get an output of negative too. So the zero clearly doesn't work. Likewise with any of the values on the interior of this problem. However, all of the values outside of the parabola in either direction very clearly generate functional outputs that are greater than zero. So our solution set is going to be all the points in this region and this region. Okay?

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