Question

Math Question! Will Give Medal! Please Help!

Answer 1

Below are the steps to solve an equation:

Step 1: |x - 5| + 2 = 5
Step 2: |x - 5| = 5 - 2
Step 3: |x - 5| = 3

Which of the following is a correct next step to solve the equation?

Answer 2

x + 5 = -3

-x - 5 = 3

x - 5 = -3

x + 5 = 3

Answer 3

Divide your absolute value into two parts,
a) |x-5| = 3 = x-5,
b) |x-5| = 3 = -(x-5)

These will give you two answers, one for when the value inside the absolute value is negative, the other for when absolute value's argument is negative. For this to seem intuitive, recall that the absolute value function does nothing to arguments (x-5 is the argument in this case) when they are positive, and when the argument is negative, it reverses the sign ( negative argument to positive value), that is, multiplies by -1.

Answer 4

This is Full question With choices

Below are the steps to solve an equation:

Step 1: |x - 5| + 2 = 5
Step 2: |x - 5| = 5 - 2
Step 3: |x - 5| = 3

Which of the following is a correct next step to solve the equation?

x + 5 = -3

-x - 5 = 3

x - 5 = -3

x + 5 = 3

Answer 5

Would it be the last one @3Archimedes14

Answer 6

I think it is either C or D

Answer 7

No, x+5 = 3 is not one of the valid equations, or an equivalent to the equation that was created when solving the absolute value.
C is correct, as x-5 = -3 is equivalent to saying -(x-5) = 3
A, B and D are incorrect, as none of them are equivalent to the equations that the absolute value gives us.

Answer 8

OKay thanks!