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.
