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On the number line, \\(x\\) is at a distance of \\(1.5\\) units from \\(4\\), and \\(x<4\\). What is the value of \\(x\\)?

Answer and explanation

Correct answer: 2.5

There are two numbers at a distance of 1.5 units from 4 on the number line: \\(4-1.5=2.5\\) and \\(4+1.5=5.5\\). Since \\(x<4\\), the number to the left of 4 must be chosen; hence, \\(x=2.5\\). Exam tip: Always check the direction or inequality condition in distance questions.

Related tags

PolynomialsNumber LineDistance ConditionInequalityReal NumbersRepresenting Real Numbers On The Number LineMathematicsClass 10 Mcq

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