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.
1 answer
The number line you've described shows an open point at 0.25 and a leftward arrow that goes beyond -10, indicating all values less than 0.25 are included. Since the point is open (not filled in), this means that 0.25 is not included in the solution set.
Thus, the linear inequality represented in this case is:
\[ x < 0.25 \]
