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To solve the inequality x + 5 ≥ 10, we need to isolate the variable x on one side of the inequality sign.
Subtracting 5 from both sides of the inequality:
x + 5 - 5 ≥ 10 - 5
x ≥ 5
Therefore, the solution to the inequality is x ≥ 5.
To graph it, we represent it on a number line by shading all the values greater than or equal to 5.
-∞ 5————————→
So, we shade the number line starting from 5 and extending to the right, indicating values greater than or equal to 5.
Thus, the graph of the inequality x + 5 ≥ 10 is:
●——————|—————→
5
The "●" represents the shaded area indicating the values greater than or equal to 5.