Question

Translate the following statement into an inequality: Five less than a number is at least nine.

x – 5 ≥ 9
x – 9 > 5
x – 5 > 9
x – 5 ≤ 9

Which inequality has the solution shown in the graph?

a – 3 ≤ –5
a – 3 < 5
a – 3 < –5
a – 3 > –2

Answer 1

It is an open holed dot with a line to the left of it, stopping at the end of -6. so its D

Answer 2

1.
five less than a number would be 
x-5
and because it's at least 9 the correct answer would be
x-5≥9
2.
 ≥ or ≤ then you fill in the dot,  > or < then you do not fill in the dot 
So because the line has an empty dot, we can remove option A.
Because the line starts on -2, it means that option D is correct.