Questions: Solve the equation. Then graph the sol -2 y+6=6 A) 0,6 B) -6,0

Transcript text: Solve the equation. Then graph the sol \[ |-2 y+6|=6 \] A) $\{0,6\}$ B) $\{-6,0\}$

Solution

Step 1: Remove the absolute value bars

The equation |-2y + 6| = 6 can be rewritten as two separate equations: -2y + 6 = 6 -2y + 6 = -6

Step 2: Solve the first equation

-2y + 6 = 6 Subtract 6 from both sides: -2y = 0 Divide both sides by -2: y = 0

Step 3: Solve the second equation

-2y + 6 = -6 Subtract 6 from both sides: -2y = -12 Divide both sides by -2: y = 6

The solutions are y = 0 and y = 6. The correct graph will have closed dots at 0 and 6 on the number line, corresponding to option A.

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