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Linear Inequalities

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Question : 53 of 54

Marks: +1, -0

An employer recruits experienced

(x)

and fresh work men (y) for his firm under the condition that he can't employ more than 9 people

\cdot x

y

can be related by the inequality

$x+y \neq 9$
$x+y \leq 9, x \geq 0, y \geq 0$
$x+y \geq 9, x \geq 0, y \geq 0$
none of these

Solution:

Concept:

The total number of employees cannot exceed 9.

Explanation:

The employer recruits

x

experienced and

y

fresh workers.

The condition "cannot employ more than 9 people" means

x + y \leq 9

.

Since

x

and

y

represent numbers of people, they must be non-negative:

x \geq 0

,

y \geq 0

.

Answer:

x + y \leq 9, \ x \geq 0, \ y \geq 0

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