Answer:
- x < -5 or 6 ≤ x
- see attached for a graph
Explanation:
You want the solution and a graph for the inequalities ...
Value of x
In each case, we can add 7 to both sides and then divide by 2 to find the limits on x:
2x -7 < -11 ⇒ 2x < -4 ⇒ x < -2
2x -7 ≥ 5 ⇒ 2x ≥ 12 ⇒ x ≥ 6
The solution in inequality notation is ...
x < -2 or x ≥ 6
The graph is attached.
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Additional comment
The boundary point -2 is not included in the solution set, so is graphed with an open circle.
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