Friday

September 19, 2014

September 19, 2014

Posted by **Jon** on Sunday, February 24, 2008 at 6:49pm.

Solve: 3+/2y-1/>=1. Graph the solution set on a number line.

The number line I have is:

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

First solution:

3+2y-1>=1

2y-4>=1

2y>=5

y>=5/2

I'm stuck b/c I had to correct the first part. I had a whole different answer. The graph for this would be an open circle between 2 and 3 and the arrow going right.

- Math -
**Damon**, Sunday, February 24, 2008 at 7:52pm|2y-1| = +(2y-1) if y >1/2

|2y-1| = -(2y-1) if y <1/2

so do the whole problem first for y >1/2

3 + 2y - 1 >/= 1

2 + 2y >/= 1

1+y >/= 1/2

y >/= -1/2

so this is true if y >1/2

now do the whole problem for y<1/2

3 - 2y +1 - 1 >/= 1

3 - 2y >/= 1

-2y >/= -2

y </= 1

so it is true for any y greater than 1/2 and for any y less than 1 and so the entire real number line

Try some spots

y = 0 yes

y = -1 yes

y = +1 yes

y = 1/2 yes

y = -1/2 yes etc etc etc

**Answer this Question**

**Related Questions**

Math - ( / means absolute value) Solve: 3+/2y-1/>=1. Graph the solution set ...

math - a number line below -5 -4 -3 -2 -1 0 1 2 3 4 5 Which of the expressions ...

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

Math inequalitites - Hi, I need some help with some inequalitites. Thanks!! Use ...

Math - 1)Solve 3+2(1-x)>6 or 2x+14<=8. Graph the solution set on a number ...

math-calculus - which of following statements is false 1. The absolute value of ...

math, help - For the following set, which number has the largest absolute value...

Math - The graph of the equation y=4-x consists of all the points in the ...

Algebra II - I need some help with some problems as well as need some checked. ...

Math - Can someone please help me with an algebra problem? -|4-8b|=12 I really ...