Solve the following compound inequality. Write the solution in in interval notation. -3

Question

Solve the following compound inequality.  Write the solution in in interval notation.  -3<-2x+1over 5<= 3

anonymous · Answer

i got [-7,8) but not sure if its right

anonymous · Answer

$$-3<  \frac{ -2x+1 }{ 5 }\le3$$

anonymous · Answer

that one looks better i got [-7,8) for the answer thanks for any help

tkhunny · Answer

So, $-15 < -2x+1 \le 15$.

What did you do next?

anonymous · Answer

sub 1 from both sides

anonymous · Answer

then divide both sides by -2 an change the equation signs from less than and less than or equal to...to greater than and greater than or equal to

tkhunny · Answer

$-16 < -2x \le 14$

Divide by -2

$8 > x \ge -7$

[-7,8)

I think you have it.

anonymous · Answer

see thats what i thought, hummm   my professor acted as though it was wrong but ill have to check back with her...thanks for ur help

anonymous · Answer

she mentio to keep an eye on the brackets but idk

tkhunny · Answer

Looks good to me.  Go have that discussion.