Question

A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 0.25. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10. A tick mark is placed at 0.25.
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

Answer 1

The number line described indicates that the open point at 0.25 means that x can take any value less than 0.25, but not including 0.25 itself, as there is an open circle at that point. The leftward arrow suggests that it continues indefinitely in the negative direction.

Thus, the linear inequality represented on the number line is:

\[ x < 0.25 \]