iGCSE Mathematics (0580) :E2.6 Represent inequalities graphically and use this representation to solve simple linear programming problems.iGCSE Style Questions Paper 2

Question

The region R contains points which satisfy the inequalities

\(y\leq \frac{1}{2}x+4,\)          y ≥ 3 and x + y ≥ 6.

On the grid, label with the letter R the region which satisfies these inequalities.
You must shade the unwanted regions.

Answer/Explanation

Ans:

Question



Write down the three inequalities that define the unshaded region, R.

Answer/Explanation

Ans:

\(y \geq 0\) and \(x \geq 1\) oe
and
\(x + y \leq 4\) oe

Question

Write down the 3 inequalities which define the unshaded region.

Answer/Explanation

Ans: y < 8
y ≥ 6 – x oe and y ≥ x + 2 oe 

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