Solve each inequality, then graph on the number line.
x-6 ≥ -14
First, we want to isolate the variable x on one side of the inequality. We can do this by adding 6 to both sides:
x-6+6 ≥ -14+6
Simplifying:
x ≥ -8
To graph this on a number line, we start at -8 and shade to the right, since x can be any number greater than or equal to -8.
<----|====o------------------->
-10 -9 -8 -7 -6 -5 -4 -3
To solve the inequality x-6 ≥ -14, we will isolate the variable x. Here are the steps:
Step 1: Add 6 to both sides of the inequality:
x - 6 + 6 ≥ -14 + 6
x ≥ -8
The solution to the inequality is x ≥ -8.
To graph this on the number line, we can draw a closed circle at the point -8 and shade to the right to represent all values greater than or equal to -8.
Here is the graph on the number line:
<==============================[=========>
-8