# Math: Inequalities

posted by .

for this inequality:

(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 -

in 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 -

How would I know its 2<x<3?

• Math: Inequalities -

the steps to getting x<1 and 2<x<3

• Math: Inequalities -

When 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.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### graphing, math

How do you graph these types of problems. Graph each of the following inequalities. 4x + y (grater than or equal to) 4 Get y by itself on one side and then graph and shade the region depending on the sign (< or >) and make the …
2. ### pre-algebra

Solve the inequality- j-7<24 8+b<-3 h/4>16 Treat the inequality just like an = signbin an equation. j-7<24 j-7+7<24+7 j<31 Do similar processes with the other inequalities. I hope this helps. Thanks for asking.
3. ### Algebra

Solve the following linear inequality graphically. x+2y<4 x-y<5 Each inequality is satisfied in a particular region of an x,y plot. The first inequality is satisfied below the line y = -x/2 + 2, for example. The second inequality …
4. ### Algebra

Consider the two inequalities 2x - 4 < y and y < -2/3x + 2. (b) Graph the region of the plane that satisifies either inequality, or both inequalities. (c) Graph the region of the plane that satisifies either inequality, but NOT …
5. ### math

Why does the inequality sign change when both sides are multiplied or divided by a negative number?
6. ### Math

I don't get when you use "or" or "and" in inequalities. Like for this quadratic inequality: x^(2) +x -12 > 0 becomes x < -4 x > 3 why is the answer {x|x<-4 or x>3} and not {x|3<x<-4} ?
7. ### Algebra

1. Why does the inequality sign change when both sides of the inequality are multiplied or divided by a negative number?
8. ### Algebra

1. Why does the inequality sign change when both sides of the inequality are multiplied or divided by a negative number?
9. ### algebra 1

Inequality 3 | 2x-2 | +16<58 •simplify as much as possible without moving the absolute value sign •rewrite the inequality as two inequalities with out absolute value signs• find solution set of the inequality and graph solution …
10. ### algebra 2

the 2 unequalities -26<4k-2 and 2k-1<6 A. Write a compound inequality to combine the inequalities shown previously. and B. Solve the compound inequality for values of k. Show your work. Write your final answer as one inequality. …

More Similar Questions