Which number line shows the solution set for |p-3|=9?

Option b

or

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function  x> 0 for all real numbers.

Then the equation:

has two cases

   if  (i)

   if (ii)

We solve the case (i)

We solve the case (ii)

Then the solution is:

or

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

- (2, -7)

- lines r and s and lines t and u must be parallel