Question

If 0 is less than or equal to |2x+3| is less than or equal to 3, then the value of x belongs to 1) [-3,0] 2) [1,2] 3) [2,3] 4) [3,4]

Answer 1

according to the question 0 ≤ | 2x +3 | ≤ 3

so we have by definition of modulus

2x + 3 ≤ 0 or 2x + 3  ≥ 0

⇒ x ≤ -3/2  or ⇒ x ≥ -3/2

AND

-3 ≤  2x + 3  ≤ 3  

⇒ -3 ≤ x ≤ 0

plotting in number line we get x ∈ [-3,0]

Answer 2

Step-by-step explanation:

hope it is helpful to you