Graph solution a+1>-3

Question

Matching solutions to graphs a+1>-3 ,  1/2 a<2 , a/2 <-2 , -2a<-8  please help graph shows solid circles and arrows don't know which goes to what

Answer 1

Hi Tia,

 

Starting with a+1>-3 you can subtract 1 from each side of the equation to get a>-4 (a is greater than -4). Now to graph this find -4 on your number line, since this reads "a is greater than -4" you make an open circle because -4 is not included and shade to the right of -4.

 

1/2 a<2

Multiply both sides by 2, this will give you a<4 (a is less than 4)

Now make an open at 4 and shade to the left for numbers that are lower than 4

 

a/2 <-2

Again multiply each side by 2, to get a<-4

Make an open circle at -4 and shade to the left for numbers smaller than -4

 

-2a<-8

For this one you need to divide each side by -2, remembered when you do this the greater than or less than sign flips directions.  It will become a>4.

Now make an open circle at 4 and shade to the right because it includes numbers that are larger than 4.

 

I hope this helps you, let me know if you have any more questions.