Question

graph the following inequalities on the number lines below.
a) ( x geq 0 )
b) ( x < 1 )

Explanation:

Step1: Analyze the inequality \(x\geq0\)

For \(x\geq0\), the endpoint at \(0\) should be solid (since the inequality includes equality) and the arrow should point to the right (as \(x\) is greater than or equal to \(0\)).

Step2: Analyze the inequality \(x < 1\)

For \(x < 1\), the endpoint at \(1\) should be open (since the inequality does not include equality) and the arrow should point to the left (as \(x\) is less than \(1\)).

Answer:

For part a), on the number - line, make the circle at \(0\) solid and change the arrow direction to the right.
For part b), on the number - line, keep the circle at \(1\) open (as it is already open in the given image) and no need to change the arrow direction (since it is already pointing to the left which is correct for \(x < 1\)).