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The shaded portion in the diagram is the solution of


Question

The shaded portion in the diagram is the solution of

Options

A) x + y \(\leq\) 3

B) x + y < 3

C) x + y > 3

D) x + y \(\geq\) 3

The correct answer is B.

Explanation:

Using \(\frac{x}{a} + \frac{y}{b}\) < 1for the equation of the time

where a = intercept on x-axis and b = intercept on y - axis

\(\frac{x}{3} + \frac{y}{3} = 1\)

= \(\frac{x + y}{3} = 1\)

= x + y < 3


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Dicussion (1)

  • Using \(\frac{x}{a} + \frac{y}{b}\) < 1for the equation of the time

    where a = intercept on x-axis and b = intercept on y - axis

    \(\frac{x}{3} + \frac{y}{3} = 1\)

    = \(\frac{x + y}{3} = 1\)

    = x + y < 3

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