Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets: c All numbers such that x≥15.

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Answer:

The answer is Ix-15I=x-15

Step-by-step explanation:

But idk how

The absolute value equation is the form of given expression is,

[tex]|x-15|=x-15[/tex]

Given-

The equation should be in the form of ,

[tex]x-b=c[/tex]

Here,

b is a number.

c can be either number or an expression.

All the number such that [tex]x\geq 15[/tex],

[tex]x+15\geq 0[/tex]

This is the only expression true for the given conditions.

From the symmetry property of the absolute value we know that,

[tex]|-a|=|a|[/tex]

Use this property for the above equation we get,

[tex]|x-15|=x-15[/tex]

This is the required equation.

Hence the absolute value equation is the form of given expression is,

[tex]|x-15|=x-15[/tex]

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