Question

The graph shown is the solution set for which of the inequalities given below?

Answer 1

a. y≤ |x| - 2
b. y< |x+ 2|
c. y≤ |x+ 2|

Answer 2

i think a because its going left.. am i right

Answer 3

could you check again @amistre64

Answer 4

thank you...

Answer 5

have you learned about shifts in graphs yet?

Answer 6

some clues in the graph i see are:

there is a solid line used so we want a solid line in our "equation"; so that narrows it to a to c

Answer 7

at x=-2; y=0 in both of them, so that doesnt help narrow it down, let choose another point to test, lets use the y intercept instead.
when x=0, what does y equal on the graph?

Answer 8

+2?

Answer 9

a. y ≤ |0| - 2 = -2

c. y ≤ |0+2| = 2

Answer 10

yes, so when x=0, we want a value of +2

Answer 11

y≤ |x+ 2|

Answer 12

correct