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Linear Inequalities question bank (Mathematics)

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Q1.

The shaded region in the provided graph represents the solution set for which of the following systems of linear inequalities?

(A)

$2x + y \geq 2, x - y \geq 1, x + 2y \leq 8, x \geq 0, y \geq 0$

(B)

$x + 2y \geq 2, x - y \geq 1, x + 2y \leq 8, x \geq 0, y \geq 0$

(C)

$2x + y \geq 2, x - y \leq 1, x + 2y \leq 8, x \geq 0, y \geq 0$

(D)

$2x + y \geq 2, x - y \leq 1, 2x + y \leq 8, x \geq 0, y \geq 0$

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Q2.

The region satisfying the inequalities $y - x \geq 2$, $x + y \leq 5$, $x \geq 0$ and $y \geq 0$ is

(A)

Unbounded

(B)

Bounded

(C)

Empty set

(D)

None of these

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