Question

The inequality | 3 – p | – 4 < 1 can be represented on the number line as :

Answer 1

(b)

| 3 – p | –4 < 1 ⇒ | 3 – p | < 5 

⇒ –5 < 3 – p < 5 

⇒ –8 < –p < 2 

⇒ –2 < p < 8 

(Note the step: Dividing by minus sign reverses the direction of the inequality)