Question

Which of the following number lines represents the solution set of 11 + x ≥ 14?

Answer 1

Second one because:
1) 11+x >= 14
2)x<=14-11
4)x<=3

Answer 2

The line that represents the solution set of
`11+x\geq 14` is the second one.

Explanation:

If we want to find the line, we need to solve the inequality.

The inequality is
`11+x\geq 14`

If we solve it in terms of x :

`11+x\geq 14`

`x\geq 14-11`

`x\geq 3`

This means that the solution of the inequality
`11+x\geq 14` are all real numbers greater or equal to 3.

The line that represents
`x\geq 3` is the blue line in the second number line.

It is important to notice that
`x>3\\eq x\geq 3` because in the second expression the number 3 is included.

In the second line the number ''3'' is included because there is a blue point in the number 3 instead of the first number line where in the number ''3'' the blue point is empty.