Question

Ill give brainliest to best answer.

Answer 1

Answer:

-3.25 >-2.5 +r

Option 4 is right.

Step-by-step explanation:

Given picture is a graph of number line representing the area to the left of -0.75 not including -0.75

i.e. the graph shows r<-0.75, where r is a variable

Subtract 2.5 to both the sides

we get

-2.5+r <-0.75-2.5

or -2.5+r <-3.25

Or -3.25 >-2.5 +r

Option 4 is right.

Why other options are wrong:

i) 3.25<r+2.5.  0 satisfies this inequality but not included in the graph. Hence wrong.

ii)3.25>2.5+r

r=0 satisiffes this contradicting the graph again.

Thus second option is right.

iii) -3.25<-2.5+r

Here r =0 satisfies this equation contrary to graph.  Hence option iii is wrong.