Wednesday

July 30, 2014

July 30, 2014

Posted by **Amy~** on Tuesday, September 21, 2010 at 4:03pm.

(x-1)(x-2)(x-3) <0 becomes

x<1 x<2 x<3

but why when I graph the inequality it becomes (this is the actually answer) {x|x<1 or 2<x<3}

I don't understand why it couldn't just be x<3 ?

Also I don't understand why there's an "or" and why the < changed?

- Math: Inequalities -
**bobpursley**, Tuesday, September 21, 2010 at 4:16pmin the original form, the PRODUCT is less than zero, which means either one or three of the terms is negative.

so, if x<1 works (all three are negative), as does 2<x<3 (one term is negative)

- Math: Inequalities -
**Amy~**, Tuesday, September 21, 2010 at 4:29pmHow would I know its 2<x<3?

- Math: Inequalities -
**Amy~**, Tuesday, September 21, 2010 at 4:30pmthe steps to getting x<1 and 2<x<3

- Math: Inequalities -
**MathMate**, Tuesday, September 21, 2010 at 4:55pmWhen you plotted the graph of the function, did you notice that the graph crosses the x-axis at x=1, x=2 and x=3?

The graph stays below the x-axis when x<1, and also when 2<x<3.

x<1 when all three factors are negative, and 2<x<3 when only one term (x-3) is negative, as Mr. Pursley mentioned.

**Related Questions**

Math - I don't get when you use "or" or "and" in inequalities. Like for this ...

Algebra - Consider the two inequalities 2x - 4 < y and y < -2/3x + 2. (b) ...

algebra 2 - the 2 unequalities -26<4k-2 and 2k-1<6 A. Write a compound ...

Algebra - Solve the following linear inequality graphically. x+2y<4 x-y<5 ...

math - Why does the inequality sign change when both sides are multiplied or ...

algebra 1 - Inequality 3 | 2x-2 | +16<58 •simplify as much as possible ...

Algebra - 1. Why does the inequality sign change when both sides of the ...

Algebra - 1. Why does the inequality sign change when both sides of the ...

algebra final, please help - Solve (x+17)(x-20)(x+8)>0 The solution set is (x...

graphing, math - How do you graph these types of problems. Graph each of the ...