Saturday

March 28, 2015

March 28, 2015

Posted by **anonymous** on Wednesday, August 30, 2006 at 9:02pm.

|2x+3|< 26

So there are two answers to this problem? Do you switch the inequality sign for the second answer?

This is the absolute value of some quantity I suppose. We have

|2x+3|< 26

Thus we want numbers such that

-26 < 2x+3 < 26

You can split this into two equations requiring x to satisfy both. You could split them like this

-26 < 2x+3

2x+3 < 26 and solve each expression, then take the intersection of the solutions, or add -3 to

-26 < 2x+3 < 26 to get

-29 < 2x < 23 now divide by 2

-26/2 < x < 23/2 or

-13 < x < 11.5 should be the final solution. This is an open interval.

For this problem I used the fact that

|x|< a means -a < x < a.

After reviewing, I see I didn't finsish the problem correctly. We started with |2x+3|< 26

We then have -26 < 2x+3 < 26

Followed by -29 < 2x < 23

The next line has a typo. This is what I had: -26/2 < x < 23/2

It should be: -29/2 < x < 23/2, and the final line should be

-14.5 < x < 11.5

This is the open interval (-14.5,11.5). It has a radius of 13 and is centered at -1.5.

**Answer this Question**

**Related Questions**

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

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

Algebra - How do you know if a value is a solution for an inequality? How is ...

Algebra - How do you know if a value is a solution for an inequality? How is ...

Algebra - How do you know if a value is a solution for an inequality? How is ...

Algebra - How do you know if a value is a solution for an inequality? How is ...

Math (Algebra) - How do you know if a value is a solution for an inequality? How...

math - Can anyone help me with dq i week 2Post your response to the following: ...

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 ...