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AnnZ [28]
3 years ago
9

Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $

7.31 in it. Select the choices that make inequality and statement about the possible amount of money in the other piggy bank correct.
Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

2.69≤x≤17.31

Step-by-step explanation:

Lety the amount in the other Piggy bank be x.

The difference in the amount of money between the two banks is no more than $10 is expressed as;

|x-7.31| ≤ 10

The value in the modulus sign can be positive or negative

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x≤17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

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