Saturday

November 22, 2014

November 22, 2014

Posted by **Madison** on Monday, August 30, 2010 at 2:52pm.

|2x-1|-2<3 I don't understand how the answer is -2<x<3

- Math -
**MathMate**, Monday, August 30, 2010 at 3:11pmThere are two important points involved:

1. When an inequality is multiplied or divided by a negative number on each side, the inequality changes direction.

For example:

4<5

-4>-5

2. When the absolute function comes into play, we have two conditions which have to be considered separately:

a. the contents of the absolute function is positive, and

b. the content of the absolute function is negative.

This means we double the number of conditions.

For example, to solve

|x-1|>4

we have

a. x-1>4, => x>5, and

b. -(x-1) > 4, therefore

(x-1)**<**-4

x<-3

Apply the same way to the given inequation and you should arrive at

-2<x<3 as the answer.

**Answer this Question**

**Related Questions**

Algebra - Solve each inequality algebraically:how do I solve this problem? What ...

Algebra 2(check) cont.. - 1)solve the inequality -3(r-11)+15>_9 my answer = r...

Solve the inequality - Solve the inequality algebraically 8x-3 ≥ -3x^2

math - solve the inequality -5(x-7)<15 algebraically for x -5(x-7)<15 -5x+...

Math - Solve the inequality. -(x-1)>2(x+1/2) I don't understand how the ...

college algebra - Solve the inequality algebraically 11x-3¡Ý-4x^2

math-logic(shsat) - Question: If 15 - 2x < 7, then for all possible values of...

Math: Inequalities - for this inequality: (x-1)(x-2)(x-3) <0 becomes x<1 x...

college algebra - solve the inequality algebraically 11x-3 is greater than or ...

algebra - Solve the inequality algebraically. Graph your solution on a number ...