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gavmur [86]
3 years ago
7

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.

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

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

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