Question

the solution set of the equation 2x + 3 Mod minus Mod x minus 1 equal to 6​

Answer 1

we have to find the value of |2x + 3| - |x - 1| = 6

first break the modulus function,

2x + 3 = 0 ⇒x = -3/2

x - 1 = 0 ⇒ x = 1

case 1 : when x > 1

2x + 3 - (x - 1) = 6

⇒2x + 3 - x + 1 = 6

⇒x = 2

case 2 : when -3/2 ≤ x ≤ 1

2x + 3 + (x - 1) = 6

⇒3x + 2 = 6

⇒x = 4/3 but -3/2 ≤ x ≤ 1

so, x ≠ 4/3 hence in this case there is no solution.

case 3 : when x < -3/2

-(2x + 3) + (x - 1) = 6

⇒-2x - 3 + x - 1 = 6

⇒- x - 4 = 6

⇒x = -10

therefore, solution of given equation is x = 2 , -10

Answer 2

Step-by-step explanation:

answer of this questions is 2,-10