Representation of solution of linear inequality in one variable on a
number line
To represent the solution of a linear inequality in one variable on a number line, we use
the following conventions:
(i) If the inequality involves ‘≥’ or ‘≤’, we draw filled circle (•) on the number line
to indicate that the number corresponding to the filled circle is included in the
solution set.
(ii) If the inequality involves ‘>’ or ‘<’, we draw an open circle (O) on the number
line to indicate that the number corresponding to the open circle is excluded from
the solution set.
GRAPHICAL REPRESENTATION OF THE SOLUTION OF A LINEAR INEQUALITY
END OF LESSON EXERCISE
Find the solution set of the following and represent it on a number line.
a. 2x≥6
b. 6x-2>10
c. 2-3+5x≤14
d. x-4<-6
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