Question

question 5
on a highway, cars must drive at or under the speed limit, and also at or above a minimum speed. the situation is modeled by the equation |2x - 135| = 15. what are the minimum and maximum speeds allowed?
(fill each blank with an integer where the smaller integer is on the first blank.)
x = \square or x = \square

Explanation:

Step1: Split absolute value equation

$2x - 135 = 15$ or $2x - 135 = -15$

Step2: Solve first linear equation

$2x = 15 + 135 = 150$
$x = \frac{150}{2} = 75$

Step3: Solve second linear equation

$2x = -15 + 135 = 120$
$x = \frac{120}{2} = 60$

Step4: Order the solutions

Smaller value first: $60$, then $75$

Answer:

$x=60$ or $x=75$