Question

graph the inequality on a number line. then write the solution in interval notation.
x < 1/7
choose the correct graph below
a
b
c
d

Explanation:

Step1: Understand inequality symbol

The symbol $<$ means strictly less than. So $x$ takes values less than $\frac{1}{7}$ but not equal to $\frac{1}{7}$.

Step2: Graph on number - line

On a number - line, we use an open circle at $\frac{1}{7}$ (to indicate that $\frac{1}{7}$ is not included) and draw an arrow to the left (since $x$ is less than $\frac{1}{7}$).

Step3: Write in interval notation

The interval notation for $x<\frac{1}{7}$ is $(-\infty,\frac{1}{7})$.

Answer:

The correct graph is the one with an open circle at $\frac{1}{7}$ and an arrow pointing to the left. In interval notation, the solution is $(-\infty,\frac{1}{7})$.