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

Answer:

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

Step-by-step 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 $x>3\neq x\geq 3$ 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.