Question

Which of the following inequalities matches the graph?
x > -3
x < -3
y > -3
y < -3

Answer 1

for the shaded region,
the solutions have x-coord <-3
s0
x<-3

Answer 2

Vertical line is x = (x-intercept)

So what is the value of x the line intercects?

Answer 3

critical line is x = -3
and values of x to the left are less than -3

Answer 4

*Where does the line cross the x-axis?

Answer 5

x<-3
Since the coloured region is on the left hand side of x=-3,
the no. is the region should be less than x=3,
which is x<3.
On the other hand,
no bounded region according to the y-axis.
Therefore, x<-3