LINR 2 | Lesson 1 | Explore Absolute Value Solutions

1.  Since $$|x | = 5$$ means that the distance of $$x$$ is 5 units from zero, then $$x=-5$$ and $$x= 5$$.
2. Since $$|x – 3| = 5$$  means that the quantity of $$(x – 3)$$ is 5 units from zero, then $$(x-3)= 5$$ or $$(x – 3) = -5$$. Solving each equation, we find that $$x = 8$$ or $$x = -2$$
3. $$|2x – 3| = 5$$ means that $$(2x – 3 )= 5$$ or $$(2x – 3) = -5$$. Solving each equation, we find that $$x = 4$$ or $$x = -1$$
4. $$|x | = -5$$ means that the distance from zero is -5, but distance is always positive therefore there is no solution.

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