Solution of 2x - 1 = | x + 7| is

Question

Solution of 2x - 1 = | x + 7| is (A) -2 (B) 8 (C) -2 8 (D) None of these

Tardigrade Admin · Accepted Answer

2x - 1 = |x + 7| = begincases x + 7 ,& textif x ge -7 [2ex] -(x + 7) ,& textif x < -7 endcases ∴ If x ge - 7, 2 x - 1 = x + 7 ⇒ x= 8 If x < - 7, 2x - 1 = - (x + 7) ⇒ 3x = - 6 ⇒ x = - 2, Not possible.

Q. Solution of $2 x - 1 = ∣ x + 7∣$ is

$- 2$

$8$

$- 28$

None of these

$2 x - 1 = ∣ x + 7∣$ $= ⎩ ⎨ ⎧ x + 7, - (x + 7), if x \geq - 7 if x < - 7$
$∴$ If $x \geq - 7$ , $2 x - 1 = x + 7 \Rightarrow x = 8$
If $x < - 7$ , $2 x - 1 = - (x + 7) \Rightarrow 3 x = - 6$
$\Rightarrow x = - 2$ , Not possible.

Q. Solution of 2x−1=∣x+7∣ is

−2

8

−28

None of these

2x−1=∣x+7∣ =⎩⎨⎧​x+7,−(x+7),​if x≥−7 if x<−7 ​ ∴ If x≥−7, 2x−1=x+7⇒x=8 If x<−7, 2x−1=−(x+7)⇒3x=−6 ⇒x=−2, Not possible.

Q. Solution of $2 x - 1 = ∣ x + 7∣$ is

$- 2$

$8$

$- 28$

$2 x - 1 = ∣ x + 7∣$ $= ⎩ ⎨ ⎧ x + 7, - (x + 7), if x \geq - 7 if x < - 7$
$∴$ If $x \geq - 7$ , $2 x - 1 = x + 7 \Rightarrow x = 8$
If $x < - 7$ , $2 x - 1 = - (x + 7) \Rightarrow 3 x = - 6$
$\Rightarrow x = - 2$ , Not possible.