If - x - - 4- y - - 3- then the maximum value of - x - y - isA- 7B- 8- 9D- 6

Name: JEE- Grade 11- Mathematics- Fundamentals of Mathematics- Session 07- D01
Uploaded: 2022-07-04T10:36:42+05:30
Description: The correct option is A 7|x+y|≤ |x|+|y|≤ 4+3=7 ...

The correct option is A 7|x+y|≤ |x|+|y|≤ 4+3=7 ...

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Standard XII

Mathematics

Inequalities Involving Modulus Function

If | x | ≤ 4,...

Question

If $| x | \leq 4, | y | \leq 3$ , then the maximum value of $| x + y |$ is

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Solution

The correct option is B $7$
$| x + y | \leq | x | + | y | \leq 4 + 3 = 7$

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Inequalities Involving Modulus Function

Standard XII Mathematics

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If |x|≤4,|y|≤3, then the maximum value of |x+y| is

The correct option is B 7|x+y|≤|x|+|y|≤4+3=7

If $| x | \leq 4, | y | \leq 3$ , then the maximum value of $| x + y |$ is

The correct option is B $7$
$| x + y | \leq | x | + | y | \leq 4 + 3 = 7$