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India
Class XI

Three step inequalities on a number line

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$83x25.

  1. Solve the inequality.

  2. Hence, plot the inequality $\frac{-8-3x}{2}\le5$83x25 on the number line below.

    -10-50510

Question 2

Consider the inequality $-4\left(5x-3\right)>52$4(5x3)>52.

  1. Solve the inequality.

  2. Hence, plot the inequality $-4\left(5x-3\right)>52$4(5x3)>52 on the number line below.

    -10-50510

Question 3

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

  1. Solve the inequality.

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

    25303540

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.

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