Question

find the value of x in the equation.
|2x - 3| - 11 = 0
x = \boxed{} or \boxed{}
question 2 pts
an airport shuttle charges a $5 flat
rate plus $1.50 per mile driven. alex’s
last trip to the airport cost $41. write
and solve an equation to find the
number of miles of alex’s trip.
\boxed{}x + \boxed{} = \boxed{}

Explanation:

Step1: Isolate absolute value term

$|2x - 3| = 11$

Step2: Split into two equations

$2x - 3 = 11$ or $2x - 3 = -11$

Step3: Solve first equation

$2x = 14 \implies x = 7$

Step4: Solve second equation

$2x = -8 \implies x = -4$

Step5: Write cost equation

$1.5x + 5 = 41$

Step6: Solve for miles

$1.5x = 36 \implies x = 24$

Answer:

7 or -4
24 miles