Question

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.

Answer 1

Answer:

$(a)$  $|0 - 8| = 8$

$(b)$  $|-4 - 6| = 10$

Step-by-step explanation:

Given

Attached number lines

Required

Express as: $|x - c| =d$

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

Solving (a):

Let:

$x = 0$

$c = 8$

So:

$|x - c| =d$

$d =|0 - 8|$

Solve the expression in the absolute bracket

$d =|- 8|$

Remove absolute bracket

$d = 8$

So: the expression is;

$|0 - 8| = 8$

Solving (b):

Let:

$x = -4$

$c = 6$

So:

$|x - c| =d$

$d = |-4-6|$

Solve the expression in the absolute bracket

$d = |-10|$

Remove absolute bracket

$d = 10$

So: the expression is;

$|-4 - 6| = 10$