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.
1 answer:
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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