Solve and graph this inequality: x+5​≥10

Answer 1

To solve the inequality x + 5 ≥ 10, we need to isolate x on one side of the inequality sign.

x + 5 ≥ 10

Subtracting 5 from both sides:

x + 5 - 5 ≥ 10 - 5

x ≥ 5

Therefore, the solution to the inequality is x ≥ 5.

To graph this inequality on a number line, we start by placing an open or closed circle at the value x = 5 (closed since x is greater than or equal to 5). Then, we shade the region to the right of the circle to represent all the values of x that satisfy the inequality x ≥ 5.

The number line would look like this:

--------●---------→

0 1 2 3 4 5 6 7 8...

The shaded region would include all the numbers from the closed circle at 5 to the right of the number line.