Shade and mark
the solutionPlotting the solution of an inequality on a number line is important because it
provides a clear visual representation of the solution, showing the range of
values where the inequality is true. This method help us reduces the risk of
errors and is especially useful in practical applications where constraints or
conditions must be visualized clearly.SummarySummary
KeypointsKeypoints
Why Do We Need to Plot the Solution?- Understand the Range of Solutions
Inequalities often have multiple solutions spread over
intervals. Plotting helps you:
See exactly where the solutions lie on the number line.
Distinguish between included (≤,≥) and excluded (<,>)
points. - Simplify Interpretation
The number line gives a clear, visual representation of:
Critical points (roots of the equation).
Which regions (intervals) satisfy the inequality. - Handle Complex Inequalities
When solving quadratic inequalities, the roots divide the
number line into intervals. Testing each interval tells you
where the inequality holds, and plotting helps to
summarize this information easily.
Find critical value
Plot the critical
valus
Test intervals
NotesNotes
HOW TO PLOT THE SOLUTIONHOW TO PLOT THE SOLUTION