Solving and graphing compound inequalities.

[Josh D.]

I need help with this one: 2x-3>15 or 3-7x>17

 

[HallsofIvy]

Start by solving each inequality: if 2x- 3> 15 then 2x> 18 so x> 9. If 3- 7x> 17 then -7x> 14 so x< 4. There are NO values of x that satisfy those. The "graph" is the empty set.

 

[pka]

I need help with this one: 2x-3>15 or 3-7x>17

Well as I read it, the or means union: \(\displaystyle (-\infty,-2)\cup (9,\infty)\).
Is that not correct?

 

[lookagain]

Well as I read it, the or means union: \(\displaystyle (-\infty,-2)\cup (9,\infty)\).
Is that not correct?

The above *is* correct.

Start by solving each inequality: if 2x- 3> 15 then 2x> 18 so x> 9.

If 3- 7x> 17 then -7x> 14

so x< 4. \(\displaystyle \ \ \ \ \ \ \ \)<----- I don't know what happened here.

 

[pka]

The above *is* correct.

@lookagain thank you for your defense.