Class XI

Three step inequalities on a number line

Lesson

Practice

Lesson

Now that we have the hang of solving 1, 2 and 3 step inequalities we are able to graph these solutions on number lines.

Here are some examples

Worked Examples

Question 1

Consider the inequality $\frac{-8-3x}{2}\le5$−8−3x2≤5.

Solve the inequality.
Hence, plot the inequality $\frac{-8-3x}{2}\le5$−8−3x2≤5 on the number line below.

Question 2

Consider the inequality $-4\left(5x-3\right)>52$−4(5x−3)>52.

Solve the inequality.
Hence, plot the inequality $-4\left(5x-3\right)>52$−4(5x−3)>52 on the number line below.

Question 3

Consider the inequality: $\frac{3x}{8}+9>21$3x8+9>21

Solve the inequality.
Hence, plot the inequality $\frac{3x}{8}+9>21$3x8+9>21 on the number line below.

Outcomes

11.A.LE.1

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables – graphically.