Question

Which graph represents the solution set of the inequality x+ 22 6?

-9-8-7-6
-2 -1 0 1 2
3
4
5 6
7 8 9
f
-98-76
-3 -2 -1
0
1
2
3
4
5
6
7
8
9
-9-8-7-6
54 -3 -2 -1 0
1
2
3
4
5
7
8
9
0
1
2
3
4
5
6
2
8
9

Answer 1

Graph C (3rd option)

Step-by-step explanation:

First, find ye solution of the x + 2 ≥ 6

x + 2 ≥ 6

Subtract 2 from both sides

x + 2 - 2 ≥ 6 - 2

x ≥ 4

Thus, this means the minimum value of x is 4. To represent this on a number line, we would have a shaded circle "o" which starts from 4, and the line would point towards our left. Any possible value of x is either 4 or greater than 4.

Therefore, the graph that represents x ≥ 4 is the graph in option C.