Solve and graph inequality

x ≥ 3 and x ≤ -3      See below

Step-by-step explanation:

| x | ≥ 3

 Case I                                     Case II

x ≥ 3                                          -(x) ≥ 3

                                                  -x ≥ 3  multiply by -1 and change the inequality

                                                  x ≤ -3

The graph:

Graph ≤ or ≥ the closed circle at the endpoint.

  x ≥ 3  closed circle at point 3 and shade to the right .

  x  ≤ -3  closed circle at -3 and shade to the left.

attachment?

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)