Official Solution:
If \(x\) is the tenths digit in the decimal \(9.x5\), what is the value of \(x\)?
(1) When\(15 - 9.x5\) is rounded to the nearest tenth, the result is\(5.4\) .
This implies that\(15 - 9.x5\) must be between\(5.35\) (inclusive) and\(5.45\) (not inclusive). Any number from this range when rounded to the nearest tenth will be\(5.4\) . So, we can write the following inequality:
\(5.35 \leq (15 - 9.x5) < 5.45\)
Subtract 15 from all parts:\(-9.65 \leq -9.x5 < -9.55\) ;
Multiply by -1 and
...
If \(x\) is the tenths digit in the decimal \(9.x5\), what is the value of \(x\)?
(1) When\(15 - 9.x5\) is rounded to the nearest tenth, the result is\(5.4\) .
This implies that\(15 - 9.x5\) must be between\(5.35\) (inclusive) and\(5.45\) (not inclusive). Any number from this range when rounded to the nearest tenth will be\(5.4\) . So, we can write the following inequality:
\(5.35 \leq (15 - 9.x5) < 5.45\)
Subtract 15 from all parts:\(-9.65 \leq -9.x5 < -9.55\) ;
Multiply by -1 and
...
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