Solve and graph this inequality: x+5≥10 You will need to move your point below to earn full credit. 👇 Write your solved inequality here: Should the point be open or closed? Where is the shading?
To solve the inequality x + 5 ≥ 10, we need to isolate the variable x.
Subtracting 5 from both sides of the inequality, we have:
x + 5 - 5 ≥ 10 - 5
x ≥ 5
Therefore, the inequality x + 5 ≥ 10 is equivalent to x ≥ 5.
To graph the inequality x ≥ 5, we represent the solution on a number line. Since x is greater than or equal to 5, the point is closed at 5. The shading extends to the right of the number line since any value of x greater than or equal to 5 satisfies the inequality.
The graph is as follows:
----●]---------------------------→
5
The shaded region extends from the point 5 (inclusive) towards positive infinity.