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Linear Inequalities

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Question : 27 of 54

Marks: +1, -0

An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people.

x

y

can be related by the inequality

$x+y \neq 9$
$x+y \leq 9$
$x+y > 9$
None

Solution:

Concept:

The total number of employees cannot exceed 9.

Explanation:

The employer recruits

x

experienced and

y

fresh workmen.

Total employees =

x + y

.

Condition: cannot employ more than 9, so

x + y

is less than or equal to 9.

Thus, inequality:

x + y \leq 9

.

Answer:

x + y \leq 9

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