Question

question 1
what is the solution to |x - 2| = 7? (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

For $|x-2|=7$, we get two cases: $x-2=7$ and $x-2=-7$.

Step2: Solve first case

$x-2=7$
$x=7+2=9$

Step3: Solve second case

$x-2=-7$
$x=-7+2=-5$

Step4: Order solutions

Smaller integer first: $-5, 9$

Answer:

$x = -5$ or $x = 9$