Question

Identify the solution set of |x + 3| + 7 equal to 10 and describe the graph in a complete sentence.

Answer 1

TO get the solution set start with |x + 3| + 7 = 10
Then |x + 3| = 3, so now you have
x + 3 = 3 and -(x + 3) = 3
x = 0 and x + 3 = -3
x = 0 and x = -6

Answer 2

In set notation x is an element of {-6,3}

Answer 3

The graph will be in the shape of a V with roots at -6 and 3 and a vertex at x=-3/2