Question

Given that x ∈ R, solve the following inequality and graph the solution on the number line:

-1 ≤ 3 + 4x < 23

Answer 1

Given : - 1 ≤ 3 + 4x < 23; x ∈ R

⇒ - 1 ≤ 3 + 4x  and  3 + 4x < 23

⇒ - 4  ≤ 4x and  4x  < 20

⇒ `-(4)/(4)` ≤  x and x <`(20)/(4)`

⇒ - 1 ≤ x < 5

Solution Set = {x : - 1 ≤ x < 5; x ∈ R}

Solution on the number line is -