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For each of the figures, write Absolute Value in the form |x-c|=d, where c and d are some numbers, to satisfy the solution set.

For each of the figures write Absolute Value in the form xcd where c and d are some numbers to satisfy the solution set class=
For each of the figures write Absolute Value in the form xcd where c and d are some numbers to satisfy the solution set class=

Respuesta :

MrRoyal

Answer:

[tex](a)[/tex]  [tex]|0 - 8| = 8[/tex]

[tex](b)[/tex]  [tex]|-4 - 6| = 10[/tex]

Step-by-step explanation:

Given

Attached number lines

Required

Express as: [tex]|x - c| =d[/tex]

The two points on the number line represent x and c (in no particular) respectively.

Solving (a):

Let:

[tex]x = 0[/tex]

[tex]c = 8[/tex]

So:

[tex]|x - c| =d[/tex]

[tex]d =|0 - 8|[/tex]

Solve the expression in the absolute bracket

[tex]d =|- 8|[/tex]

Remove absolute bracket

[tex]d = 8[/tex]

So: the expression is;

[tex]|0 - 8| = 8[/tex]

Solving (b):

Let:

[tex]x = -4[/tex]

[tex]c = 6[/tex]

So:

[tex]|x - c| =d[/tex]

[tex]d = |-4-6|[/tex]

Solve the expression in the absolute bracket

[tex]d = |-10|[/tex]

Remove absolute bracket

[tex]d = 10[/tex]

So: the expression is;

[tex]|-4 - 6| = 10[/tex]

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