Question

Solve the combined inequality and select the answer that best describes the graph of the solution.
3x – 7 > -10 and 5x + 2 < 22



Answers:
open dot at -1, open dot at 4, and shaded between the numbers
closed dot at -1 and 5, shaded between the numbers
closed dot at 1, open dot at 5, and shaded between the numbers
none of the above

Answer 1

there are not "=" parts in these are there?

Answer 2

if the inequalities have \(\ge~or~\le\) parts in them then there is going to be a closed dot, if the "equal" part is missing then its an open dot.

that should narrow down the options

Answer 3

so it'd be an open dot and either the first or last choice, right?

Answer 4

3x-7>-10 And 5x+2<22
3x>-3 5x<20
x>-1 x<4 then take the intersection of the two
So the answer would be -1<x<4

Answer 5

thanks so much

Answer 6

It is OK!!!!!