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, 2x-1=x+7 ⇒ x=8 If x < -7, 2x -1 = -(x + 7) ⇒ 3x=-6⇒ x=-2, which is not possible. .

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

$- 2$

$8$

$- 2, 8$

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 $x < - 7, 2 x - 1 = - (x + 7)$
$\Rightarrow 3 x = - 6 \Rightarrow x = - 2$ , which is not possible. .

Q. Solution of 2x−1=∣x+7∣ is

−2

8

−2,8

None of these

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

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

$- 2$

$8$

$- 2, 8$

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