​ Solve each of the following in equations and represent the solution set on the number line. |4x - 5| ≤ 1/3 x ∈ R ​

Question

Solve each of the following in equations and represent the solution set on the number line.

|4x - 5| ≤ \(\frac{1}{3},\) x ∈ R

Answer 1

Given :

|4x - 5| ≤ \(\frac{1}{3},\) x ∈ R

 |4x - 5| ≤ \(\frac{1}{3} \) or 4x - 5 \(\le \) - \(\frac{1}{3}\)

 |4x - 5| \(\le \) \(\frac{1}{3}\)

Adding 5 to both the sides in the above equation

Now, dividing both the sides by 4 in the above equation

Adding 5 to both the sides in the above equation

Now, dividing both the sides by 4 in the above equation