1.6: Past-paper question 1

4PM1/1/November/2024 — Question 1 · 4 marks

(a) On the grid below, draw the line with equation
(i) 3x+4y=24\displaystyle 3x + 4y = 24      (ii) 2x5y+10=0\displaystyle 2x - 5y + 10 = 0
(2)
(b) Show, by shading on the grid, the region R\displaystyle R defined by the inequalities
3x+4y242x5y+100y5x13x + 4y \leq 24 \quad 2x - 5y + 10 \geq 0 \quad y \leq 5 \quad x \geq -1
Label the region R\displaystyle R
(2)