S6 Linear Programming

S6 Linear Prgamming in Two Unknowns

Some text here about the topic of discussion

Multiple Choice

1. Which of the following graphs represents the solution of x > 3 and x > 5?

• x > 3

• x > 5

• x <3

• x < 5

Multiple Choice

2. Which of the following graphs represents the solution of x > 3 and x < 5?

• all real numbers

• no solution

• 5>x >3

• 3<x < 5

Multiple Select

3. Given that the shaded region represents a set of inequalities and one inequality is $$y\ge3$$   . The other inequalities are

• $$y-x\le2$$  

• $$y-x\ge2$$  

• $$x+y\ge10$$  

• $$x+y\le10$$  

Multiple Select

In the figure, (x, y) is any point in the shaded region including the boundary. Which of the following is/ are true?

• $$x\le y$$  

• $$x\le6$$  

• $$x+y\le4$$  

• $$x+y\ge4$$  

Multiple Select

The figure shows the shaded region including the boundary. If (a, b) is a point lying in the shaded region, which of the following is/ are true?

• $$a\le4$$  

• $$a\le b-5$$  

• $$a\ge10-2b$$  

• $$b\ge a+5$$