Solve for xx and graph the solution on the number line below.

Question

x, minus, 2, is greater than or equal to, 10
x−2≥
10

Answer 1

To solve for x, we need to isolate x on one side of the inequality. To do this, we can add 2 to both sides of the inequality:

x − 2 + 2 ≥ 10 + 2
x ≥ 12

Now we have x ≥ 12. This means x is greater than or equal to 12.

Graphing this on a number line:
--------------------------------
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
----------------------------------------------------------

Since the inequality is x ≥ 12, we include a closed circle at 12 and shade to the right, including all numbers greater than or equal to 12.

Hope this helps.