Question
Find the inequalities that define the unshaded region, R.
▶️Answer/Explanation
\(\begin{array}{l}{y<x}\\{x<6}\\{1\leqslant y\leqslant5\mathrm{oe}}\end{array}\)
The vertical boundary on the right is at \( x = 6 \).
Since the region is to the left of this line
$
x \le 6
$
The horizontal boundary at the top is at \( y = 5 \).
Since the region is below this line:
$
y \le 5
$
Since the region is below this line
$
y \le x
$
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