Question

Represent the following inequality graphically: x + 3 > 8, x ∈ W​

Answer 1

Answer:

Removing modules from given ∣x∣≤3

inequality ∣x∣≤3, we get

⇒−3≤x≤3

⇒x≤3 ..(i)

and x≥−3..(ii)

writing inequality (i) in equation form,

x=3

line x=3, will be right side of y-axis and parallel to y-axis writing inequality (ii) in equation form, r=−3.

Line x=−3, will be left side of y-axis and II to y-axis.

Graph of both linear equations is as follows:

Thus, inequality ∣x∣≤3 satisfy by origin (0,0)

Therefore shaded part from line x=3 to x=−3 will be required solution set.