Target Mathematics

1.16: Graphical and algebraic inequalities

4PM1/2/January/2017 — Question 1 · 4 marks

1.16 diagram 1
(a) On the axes below, sketch the lines with equations x=3x=3, y=x+1y=x+1 and 2y+x=52y+x=5. On your sketch, mark the coordinates of any points where the lines cross the axes. (3)
(b) Show, by shading on your sketch, the region RR defined by the inequalities
x3,yx+1and2y+x5x\le3,\qquad y\le x+1\qquad\text{and}\qquad 2y+x\ge5
(1)