(Solved): 2. Consider the equation \( 2|x-1|+a=10 \). (a) Provide a value of \( a \) so that this equation ha ...

2. Consider the equation \( 2|x-1|+a=10 \). (a) Provide a value of \( a \) so that this equation has two solutions. Explain how you decided on this value of \( a \). (b) Provide a value of \( a \) so that this equation has exactly one solution. Explain how you decided on this value of \( a \). (c) Provide a value of \( a \) so that this equation has no solutions. Explain how you decided an this value of \( a \).